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What is the Least Common Multiple of 56070 and 56087?

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 56070 and 56087 is 3144798090.

LCM(56070,56087) = 3144798090

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Least Common Multiple of 56070 and 56087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56070 and 56087, than apply into the LCM equation.

GCF(56070,56087) = 1
LCM(56070,56087) = ( 56070 × 56087) / 1
LCM(56070,56087) = 3144798090 / 1
LCM(56070,56087) = 3144798090

Least Common Multiple (LCM) of 56070 and 56087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56070 and 56087. First we will calculate the prime factors of 56070 and 56087.

Prime Factorization of 56070

Prime factors of 56070 are 2, 3, 5, 7, 89. Prime factorization of 56070 in exponential form is:

56070 = 21 × 32 × 51 × 71 × 891

Prime Factorization of 56087

Prime factors of 56087 are 56087. Prime factorization of 56087 in exponential form is:

56087 = 560871

Now multiplying the highest exponent prime factors to calculate the LCM of 56070 and 56087.

LCM(56070,56087) = 21 × 32 × 51 × 71 × 891 × 560871
LCM(56070,56087) = 3144798090