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What is the Least Common Multiple of 2638 and 2656?

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 2638 and 2656 is 3503264.

LCM(2638,2656) = 3503264

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Least Common Multiple of 2638 and 2656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2638 and 2656, than apply into the LCM equation.

GCF(2638,2656) = 2
LCM(2638,2656) = ( 2638 × 2656) / 2
LCM(2638,2656) = 7006528 / 2
LCM(2638,2656) = 3503264

Least Common Multiple (LCM) of 2638 and 2656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2638 and 2656. First we will calculate the prime factors of 2638 and 2656.

Prime Factorization of 2638

Prime factors of 2638 are 2, 1319. Prime factorization of 2638 in exponential form is:

2638 = 21 × 13191

Prime Factorization of 2656

Prime factors of 2656 are 2, 83. Prime factorization of 2656 in exponential form is:

2656 = 25 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 2638 and 2656.

LCM(2638,2656) = 25 × 13191 × 831
LCM(2638,2656) = 3503264