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What is the Least Common Multiple of 56084 and 56095?

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 56084 and 56095 is 3146031980.

LCM(56084,56095) = 3146031980

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Least Common Multiple of 56084 and 56095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56084 and 56095, than apply into the LCM equation.

GCF(56084,56095) = 1
LCM(56084,56095) = ( 56084 × 56095) / 1
LCM(56084,56095) = 3146031980 / 1
LCM(56084,56095) = 3146031980

Least Common Multiple (LCM) of 56084 and 56095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56084 and 56095. First we will calculate the prime factors of 56084 and 56095.

Prime Factorization of 56084

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

56084 = 22 × 71 × 20031

Prime Factorization of 56095

Prime factors of 56095 are 5, 13, 863. Prime factorization of 56095 in exponential form is:

56095 = 51 × 131 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 56084 and 56095.

LCM(56084,56095) = 22 × 71 × 20031 × 51 × 131 × 8631
LCM(56084,56095) = 3146031980