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Least Common Multiple of 4 and 16

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

LCM of 4 and 16

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

LCM of:
and

Least Common Multiple (LCM) of 4 and 16 with Primes

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 = 22

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 = 24

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

LCM(4,16) = 24
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

Least Common Multiple of 4 and 16 with GCF Formula

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

Least Common Multiple of 4 and 16 by Listing Multiples

Multiples of 4

4, 8, 12,16

Multiples of 16

16

Find the smallest number that is on all of the lists. We have it in bold above.

∴ Least Common Multiple of 4 and 16 is 16

Properties of LCM 4 and 16

(i) The LCM of 16 and 4 is associative

LCM of 4 and 16 = LCM of 16 and 4

Frequently Asked Questions on LCM of 4 and 16

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.