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What is the Least Common Multiple of 56979 and 56985?

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 56979 and 56985 is 1082316105.

LCM(56979,56985) = 1082316105

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Least Common Multiple of 56979 and 56985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56979 and 56985, than apply into the LCM equation.

GCF(56979,56985) = 3
LCM(56979,56985) = ( 56979 × 56985) / 3
LCM(56979,56985) = 3246948315 / 3
LCM(56979,56985) = 1082316105

Least Common Multiple (LCM) of 56979 and 56985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56979 and 56985. First we will calculate the prime factors of 56979 and 56985.

Prime Factorization of 56979

Prime factors of 56979 are 3, 13, 487. Prime factorization of 56979 in exponential form is:

56979 = 32 × 131 × 4871

Prime Factorization of 56985

Prime factors of 56985 are 3, 5, 29, 131. Prime factorization of 56985 in exponential form is:

56985 = 31 × 51 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 56979 and 56985.

LCM(56979,56985) = 32 × 131 × 4871 × 51 × 291 × 1311
LCM(56979,56985) = 1082316105