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What is the Least Common Multiple of 5624 and 5638?

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 5624 and 5638 is 15854056.

LCM(5624,5638) = 15854056

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Least Common Multiple of 5624 and 5638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5624 and 5638, than apply into the LCM equation.

GCF(5624,5638) = 2
LCM(5624,5638) = ( 5624 × 5638) / 2
LCM(5624,5638) = 31708112 / 2
LCM(5624,5638) = 15854056

Least Common Multiple (LCM) of 5624 and 5638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5624 and 5638. First we will calculate the prime factors of 5624 and 5638.

Prime Factorization of 5624

Prime factors of 5624 are 2, 19, 37. Prime factorization of 5624 in exponential form is:

5624 = 23 × 191 × 371

Prime Factorization of 5638

Prime factors of 5638 are 2, 2819. Prime factorization of 5638 in exponential form is:

5638 = 21 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 5624 and 5638.

LCM(5624,5638) = 23 × 191 × 371 × 28191
LCM(5624,5638) = 15854056