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What is the Least Common Multiple of 3624 and 3638?

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 3624 and 3638 is 6592056.

LCM(3624,3638) = 6592056

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Least Common Multiple of 3624 and 3638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3624 and 3638, than apply into the LCM equation.

GCF(3624,3638) = 2
LCM(3624,3638) = ( 3624 × 3638) / 2
LCM(3624,3638) = 13184112 / 2
LCM(3624,3638) = 6592056

Least Common Multiple (LCM) of 3624 and 3638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3624 and 3638. First we will calculate the prime factors of 3624 and 3638.

Prime Factorization of 3624

Prime factors of 3624 are 2, 3, 151. Prime factorization of 3624 in exponential form is:

3624 = 23 × 31 × 1511

Prime Factorization of 3638

Prime factors of 3638 are 2, 17, 107. Prime factorization of 3638 in exponential form is:

3638 = 21 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3624 and 3638.

LCM(3624,3638) = 23 × 31 × 1511 × 171 × 1071
LCM(3624,3638) = 6592056