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What is the Least Common Multiple of 56070 and 56084?

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 56084 is 224616420.

LCM(56070,56084) = 224616420

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Least Common Multiple of 56070 and 56084 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 56084, than apply into the LCM equation.

GCF(56070,56084) = 14
LCM(56070,56084) = ( 56070 × 56084) / 14
LCM(56070,56084) = 3144629880 / 14
LCM(56070,56084) = 224616420

Least Common Multiple (LCM) of 56070 and 56084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56070 and 56084. First we will calculate the prime factors of 56070 and 56084.

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 56084

Prime factors of 56084 are 2, 7, 2003. Prime factorization of 56084 in exponential form is:

56084 = 22 × 71 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 56070 and 56084.

LCM(56070,56084) = 22 × 32 × 51 × 71 × 891 × 20031
LCM(56070,56084) = 224616420