Free LCM Calculator determines the least common multiple (LCM) between 4 and 16 the smallest integer that is 16 that is divisible by both numbers.

Least Common Multiple (LCM) of 4 and 16 is **16**.

LCM(4,16) = 16

*Least common multiple* or lowest common denominator (LCD) can be calculated in three ways;

- Least Common Multiple of 4 and 16 by Prime method
- Least Common Multiple of 4 and 16 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 16. First we will calculate the **prime factors of 4 and 16**.

**Prime Factorization of 4**

2 | 4 |

2 | 2 |

1 |

Prime factors of 4 are 2. Prime factorization of **4** in exponential form is:

4 = 2^{2}

**Prime Factorization of 16**

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 16 are 2. Prime factorization of **16** in exponential form is:

16 = 2^{4}

Now multiplying the highest exponent prime factors to calculate the **LCM of 4 and 16**.

LCM(4,16) = 2^{4}

LCM(4,16) = 16

**Factors of 4**

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2, 4

**Factors of 16**

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 4 and 16, than apply into the LCM equation.

GCF(4,16) = 4

LCM(4,16) = ( 4 × 16) / 4

LCM(4,16) = 64 / 4

LCM(4,16) = 16

(i) The LCM of 16 and 4 is associative

LCM of 4 and 16 = LCM of 16 and 4

1. What is the LCM of 4 and 16?

Answer: LCM of 4 and 16 is 16.

2. What are the Factors of 4?

Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

3. What are the Factors of 16?

Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.

4. How to Find the LCM of 4 and 16?

Answer:

Least Common Multiple of 4 and 16 = 16

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 16

16 = 2 x 2 x 2 x 2

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 16 = 2 x 2 x 2 x 2

Step 4: Therefore, the least common multiple of 4 and 16 is 16.