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What is the Least Common Multiple of 56969 and 56976?

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 56969 and 56976 is 3245865744.

LCM(56969,56976) = 3245865744

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Least Common Multiple of 56969 and 56976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56969 and 56976, than apply into the LCM equation.

GCF(56969,56976) = 1
LCM(56969,56976) = ( 56969 × 56976) / 1
LCM(56969,56976) = 3245865744 / 1
LCM(56969,56976) = 3245865744

Least Common Multiple (LCM) of 56969 and 56976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56969 and 56976. First we will calculate the prime factors of 56969 and 56976.

Prime Factorization of 56969

Prime factors of 56969 are 11, 5179. Prime factorization of 56969 in exponential form is:

56969 = 111 × 51791

Prime Factorization of 56976

Prime factors of 56976 are 2, 3, 1187. Prime factorization of 56976 in exponential form is:

56976 = 24 × 31 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 56969 and 56976.

LCM(56969,56976) = 111 × 51791 × 24 × 31 × 11871
LCM(56969,56976) = 3245865744