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What is the Least Common Multiple of 56264 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 56264 and 56268 is 791465688.

LCM(56264,56268) = 791465688

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Least Common Multiple of 56264 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 56264 and 56268, than apply into the LCM equation.

GCF(56264,56268) = 4
LCM(56264,56268) = ( 56264 × 56268) / 4
LCM(56264,56268) = 3165862752 / 4
LCM(56264,56268) = 791465688

Least Common Multiple (LCM) of 56264 and 56268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56264 and 56268. First we will calculate the prime factors of 56264 and 56268.

Prime Factorization of 56264

Prime factors of 56264 are 2, 13, 541. Prime factorization of 56264 in exponential form is:

56264 = 23 × 131 × 5411

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 56264 and 56268.

LCM(56264,56268) = 23 × 131 × 5411 × 33 × 5211
LCM(56264,56268) = 791465688