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What is the Least Common Multiple of 15564 and 15569?

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 15564 and 15569 is 242315916.

LCM(15564,15569) = 242315916

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Least Common Multiple of 15564 and 15569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15564 and 15569, than apply into the LCM equation.

GCF(15564,15569) = 1
LCM(15564,15569) = ( 15564 × 15569) / 1
LCM(15564,15569) = 242315916 / 1
LCM(15564,15569) = 242315916

Least Common Multiple (LCM) of 15564 and 15569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15564 and 15569. First we will calculate the prime factors of 15564 and 15569.

Prime Factorization of 15564

Prime factors of 15564 are 2, 3, 1297. Prime factorization of 15564 in exponential form is:

15564 = 22 × 31 × 12971

Prime Factorization of 15569

Prime factors of 15569 are 15569. Prime factorization of 15569 in exponential form is:

15569 = 155691

Now multiplying the highest exponent prime factors to calculate the LCM of 15564 and 15569.

LCM(15564,15569) = 22 × 31 × 12971 × 155691
LCM(15564,15569) = 242315916