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What is the Least Common Multiple of 3636 and 3644?

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 3636 and 3644 is 3312396.

LCM(3636,3644) = 3312396

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Least Common Multiple of 3636 and 3644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3636 and 3644, than apply into the LCM equation.

GCF(3636,3644) = 4
LCM(3636,3644) = ( 3636 × 3644) / 4
LCM(3636,3644) = 13249584 / 4
LCM(3636,3644) = 3312396

Least Common Multiple (LCM) of 3636 and 3644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3636 and 3644. First we will calculate the prime factors of 3636 and 3644.

Prime Factorization of 3636

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

3636 = 22 × 32 × 1011

Prime Factorization of 3644

Prime factors of 3644 are 2, 911. Prime factorization of 3644 in exponential form is:

3644 = 22 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 3636 and 3644.

LCM(3636,3644) = 22 × 32 × 1011 × 9111
LCM(3636,3644) = 3312396