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What is the Least Common Multiple of 56009 and 56021?

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 56009 and 56021 is 3137680189.

LCM(56009,56021) = 3137680189

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Least Common Multiple of 56009 and 56021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56009 and 56021, than apply into the LCM equation.

GCF(56009,56021) = 1
LCM(56009,56021) = ( 56009 × 56021) / 1
LCM(56009,56021) = 3137680189 / 1
LCM(56009,56021) = 3137680189

Least Common Multiple (LCM) of 56009 and 56021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56009 and 56021. First we will calculate the prime factors of 56009 and 56021.

Prime Factorization of 56009

Prime factors of 56009 are 56009. Prime factorization of 56009 in exponential form is:

56009 = 560091

Prime Factorization of 56021

Prime factors of 56021 are 7, 53, 151. Prime factorization of 56021 in exponential form is:

56021 = 71 × 531 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 56009 and 56021.

LCM(56009,56021) = 560091 × 71 × 531 × 1511
LCM(56009,56021) = 3137680189