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What is the Least Common Multiple of 3616 and 3636?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3616 and 3636 is 3286944.

LCM(3616,3636) = 3286944

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Least Common Multiple of 3616 and 3636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3616 and 3636, than apply into the LCM equation.

GCF(3616,3636) = 4
LCM(3616,3636) = ( 3616 × 3636) / 4
LCM(3616,3636) = 13147776 / 4
LCM(3616,3636) = 3286944

Least Common Multiple (LCM) of 3616 and 3636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3616 and 3636. First we will calculate the prime factors of 3616 and 3636.

Prime Factorization of 3616

Prime factors of 3616 are 2, 113. Prime factorization of 3616 in exponential form is:

3616 = 25 × 1131

Prime Factorization of 3636

Prime factors of 3636 are 2, 3, 101. Prime factorization of 3636 in exponential form is:

3636 = 22 × 32 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3616 and 3636.

LCM(3616,3636) = 25 × 1131 × 32 × 1011
LCM(3616,3636) = 3286944