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What is the Least Common Multiple of 6652 and 6656?

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 6652 and 6656 is 11068928.

LCM(6652,6656) = 11068928

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Least Common Multiple of 6652 and 6656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6652 and 6656, than apply into the LCM equation.

GCF(6652,6656) = 4
LCM(6652,6656) = ( 6652 × 6656) / 4
LCM(6652,6656) = 44275712 / 4
LCM(6652,6656) = 11068928

Least Common Multiple (LCM) of 6652 and 6656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6652 and 6656. First we will calculate the prime factors of 6652 and 6656.

Prime Factorization of 6652

Prime factors of 6652 are 2, 1663. Prime factorization of 6652 in exponential form is:

6652 = 22 × 16631

Prime Factorization of 6656

Prime factors of 6656 are 2, 13. Prime factorization of 6656 in exponential form is:

6656 = 29 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 6652 and 6656.

LCM(6652,6656) = 29 × 16631 × 131
LCM(6652,6656) = 11068928