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What is the Least Common Multiple of 52087 and 52095?

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 52087 and 52095 is 2713472265.

LCM(52087,52095) = 2713472265

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Least Common Multiple of 52087 and 52095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52087 and 52095, than apply into the LCM equation.

GCF(52087,52095) = 1
LCM(52087,52095) = ( 52087 × 52095) / 1
LCM(52087,52095) = 2713472265 / 1
LCM(52087,52095) = 2713472265

Least Common Multiple (LCM) of 52087 and 52095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52087 and 52095. First we will calculate the prime factors of 52087 and 52095.

Prime Factorization of 52087

Prime factors of 52087 are 7, 1063. Prime factorization of 52087 in exponential form is:

52087 = 72 × 10631

Prime Factorization of 52095

Prime factors of 52095 are 3, 5, 23, 151. Prime factorization of 52095 in exponential form is:

52095 = 31 × 51 × 231 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 52087 and 52095.

LCM(52087,52095) = 72 × 10631 × 31 × 51 × 231 × 1511
LCM(52087,52095) = 2713472265