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What is the Least Common Multiple of 15647 and 15664?

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 15647 and 15664 is 245094608.

LCM(15647,15664) = 245094608

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Least Common Multiple of 15647 and 15664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15647 and 15664, than apply into the LCM equation.

GCF(15647,15664) = 1
LCM(15647,15664) = ( 15647 × 15664) / 1
LCM(15647,15664) = 245094608 / 1
LCM(15647,15664) = 245094608

Least Common Multiple (LCM) of 15647 and 15664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15647 and 15664. First we will calculate the prime factors of 15647 and 15664.

Prime Factorization of 15647

Prime factors of 15647 are 15647. Prime factorization of 15647 in exponential form is:

15647 = 156471

Prime Factorization of 15664

Prime factors of 15664 are 2, 11, 89. Prime factorization of 15664 in exponential form is:

15664 = 24 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 15647 and 15664.

LCM(15647,15664) = 156471 × 24 × 111 × 891
LCM(15647,15664) = 245094608