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What is the Least Common Multiple of 56961 and 56978?

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 56961 and 56978 is 3245523858.

LCM(56961,56978) = 3245523858

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Least Common Multiple of 56961 and 56978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56961 and 56978, than apply into the LCM equation.

GCF(56961,56978) = 1
LCM(56961,56978) = ( 56961 × 56978) / 1
LCM(56961,56978) = 3245523858 / 1
LCM(56961,56978) = 3245523858

Least Common Multiple (LCM) of 56961 and 56978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56961 and 56978. First we will calculate the prime factors of 56961 and 56978.

Prime Factorization of 56961

Prime factors of 56961 are 3, 6329. Prime factorization of 56961 in exponential form is:

56961 = 32 × 63291

Prime Factorization of 56978

Prime factors of 56978 are 2, 31, 919. Prime factorization of 56978 in exponential form is:

56978 = 21 × 311 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 56961 and 56978.

LCM(56961,56978) = 32 × 63291 × 21 × 311 × 9191
LCM(56961,56978) = 3245523858