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What is the Least Common Multiple of 87127 and 87134?

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 87127 and 87134 is 7591724018.

LCM(87127,87134) = 7591724018

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Least Common Multiple of 87127 and 87134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87127 and 87134, than apply into the LCM equation.

GCF(87127,87134) = 1
LCM(87127,87134) = ( 87127 × 87134) / 1
LCM(87127,87134) = 7591724018 / 1
LCM(87127,87134) = 7591724018

Least Common Multiple (LCM) of 87127 and 87134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87127 and 87134. First we will calculate the prime factors of 87127 and 87134.

Prime Factorization of 87127

Prime factors of 87127 are 151, 577. Prime factorization of 87127 in exponential form is:

87127 = 1511 × 5771

Prime Factorization of 87134

Prime factors of 87134 are 2, 19, 2293. Prime factorization of 87134 in exponential form is:

87134 = 21 × 191 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 87127 and 87134.

LCM(87127,87134) = 1511 × 5771 × 21 × 191 × 22931
LCM(87127,87134) = 7591724018