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What is the Least Common Multiple of 56900 and 56906?

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 56900 and 56906 is 1618975700.

LCM(56900,56906) = 1618975700

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Least Common Multiple of 56900 and 56906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56900 and 56906, than apply into the LCM equation.

GCF(56900,56906) = 2
LCM(56900,56906) = ( 56900 × 56906) / 2
LCM(56900,56906) = 3237951400 / 2
LCM(56900,56906) = 1618975700

Least Common Multiple (LCM) of 56900 and 56906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56900 and 56906. First we will calculate the prime factors of 56900 and 56906.

Prime Factorization of 56900

Prime factors of 56900 are 2, 5, 569. Prime factorization of 56900 in exponential form is:

56900 = 22 × 52 × 5691

Prime Factorization of 56906

Prime factors of 56906 are 2, 37, 769. Prime factorization of 56906 in exponential form is:

56906 = 21 × 371 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 56900 and 56906.

LCM(56900,56906) = 22 × 52 × 5691 × 371 × 7691
LCM(56900,56906) = 1618975700