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What is the Least Common Multiple of 56088 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 56088 and 56095 is 3146256360.

LCM(56088,56095) = 3146256360

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Least Common Multiple of 56088 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 56088 and 56095, than apply into the LCM equation.

GCF(56088,56095) = 1
LCM(56088,56095) = ( 56088 × 56095) / 1
LCM(56088,56095) = 3146256360 / 1
LCM(56088,56095) = 3146256360

Least Common Multiple (LCM) of 56088 and 56095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56088 and 56095. First we will calculate the prime factors of 56088 and 56095.

Prime Factorization of 56088

Prime factors of 56088 are 2, 3, 19, 41. Prime factorization of 56088 in exponential form is:

56088 = 23 × 32 × 191 × 411

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 56088 and 56095.

LCM(56088,56095) = 23 × 32 × 191 × 411 × 51 × 131 × 8631
LCM(56088,56095) = 3146256360