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What is the Least Common Multiple of 56254 and 56268?

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 56254 and 56268 is 1582650036.

LCM(56254,56268) = 1582650036

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Least Common Multiple of 56254 and 56268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56254 and 56268, than apply into the LCM equation.

GCF(56254,56268) = 2
LCM(56254,56268) = ( 56254 × 56268) / 2
LCM(56254,56268) = 3165300072 / 2
LCM(56254,56268) = 1582650036

Least Common Multiple (LCM) of 56254 and 56268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56254 and 56268. First we will calculate the prime factors of 56254 and 56268.

Prime Factorization of 56254

Prime factors of 56254 are 2, 11, 2557. Prime factorization of 56254 in exponential form is:

56254 = 21 × 111 × 25571

Prime Factorization of 56268

Prime factors of 56268 are 2, 3, 521. Prime factorization of 56268 in exponential form is:

56268 = 22 × 33 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 56254 and 56268.

LCM(56254,56268) = 22 × 111 × 25571 × 33 × 5211
LCM(56254,56268) = 1582650036