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What is the Least Common Multiple of 56644 and 56656?

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 56644 and 56656 is 802305616.

LCM(56644,56656) = 802305616

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Least Common Multiple of 56644 and 56656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56644 and 56656, than apply into the LCM equation.

GCF(56644,56656) = 4
LCM(56644,56656) = ( 56644 × 56656) / 4
LCM(56644,56656) = 3209222464 / 4
LCM(56644,56656) = 802305616

Least Common Multiple (LCM) of 56644 and 56656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56644 and 56656. First we will calculate the prime factors of 56644 and 56656.

Prime Factorization of 56644

Prime factors of 56644 are 2, 7, 17. Prime factorization of 56644 in exponential form is:

56644 = 22 × 72 × 172

Prime Factorization of 56656

Prime factors of 56656 are 2, 3541. Prime factorization of 56656 in exponential form is:

56656 = 24 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 56644 and 56656.

LCM(56644,56656) = 24 × 72 × 172 × 35411
LCM(56644,56656) = 802305616