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What is the Least Common Multiple of 56911 and 56929?

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 56911 and 56929 is 3239886319.

LCM(56911,56929) = 3239886319

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Least Common Multiple of 56911 and 56929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56911 and 56929, than apply into the LCM equation.

GCF(56911,56929) = 1
LCM(56911,56929) = ( 56911 × 56929) / 1
LCM(56911,56929) = 3239886319 / 1
LCM(56911,56929) = 3239886319

Least Common Multiple (LCM) of 56911 and 56929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56911 and 56929. First we will calculate the prime factors of 56911 and 56929.

Prime Factorization of 56911

Prime factors of 56911 are 56911. Prime factorization of 56911 in exponential form is:

56911 = 569111

Prime Factorization of 56929

Prime factors of 56929 are 56929. Prime factorization of 56929 in exponential form is:

56929 = 569291

Now multiplying the highest exponent prime factors to calculate the LCM of 56911 and 56929.

LCM(56911,56929) = 569111 × 569291
LCM(56911,56929) = 3239886319