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What is the Least Common Multiple of 56051 and 56067?

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 56051 and 56067 is 3142611417.

LCM(56051,56067) = 3142611417

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Least Common Multiple of 56051 and 56067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56051 and 56067, than apply into the LCM equation.

GCF(56051,56067) = 1
LCM(56051,56067) = ( 56051 × 56067) / 1
LCM(56051,56067) = 3142611417 / 1
LCM(56051,56067) = 3142611417

Least Common Multiple (LCM) of 56051 and 56067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56051 and 56067. First we will calculate the prime factors of 56051 and 56067.

Prime Factorization of 56051

Prime factors of 56051 are 23, 2437. Prime factorization of 56051 in exponential form is:

56051 = 231 × 24371

Prime Factorization of 56067

Prime factors of 56067 are 3, 11, 1699. Prime factorization of 56067 in exponential form is:

56067 = 31 × 111 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 56051 and 56067.

LCM(56051,56067) = 231 × 24371 × 31 × 111 × 16991
LCM(56051,56067) = 3142611417