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What is the Least Common Multiple of 87062 and 87081?

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 87062 and 87081 is 7581446022.

LCM(87062,87081) = 7581446022

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Least Common Multiple of 87062 and 87081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87062 and 87081, than apply into the LCM equation.

GCF(87062,87081) = 1
LCM(87062,87081) = ( 87062 × 87081) / 1
LCM(87062,87081) = 7581446022 / 1
LCM(87062,87081) = 7581446022

Least Common Multiple (LCM) of 87062 and 87081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87062 and 87081. First we will calculate the prime factors of 87062 and 87081.

Prime Factorization of 87062

Prime factors of 87062 are 2, 101, 431. Prime factorization of 87062 in exponential form is:

87062 = 21 × 1011 × 4311

Prime Factorization of 87081

Prime factors of 87081 are 3, 29027. Prime factorization of 87081 in exponential form is:

87081 = 31 × 290271

Now multiplying the highest exponent prime factors to calculate the LCM of 87062 and 87081.

LCM(87062,87081) = 21 × 1011 × 4311 × 31 × 290271
LCM(87062,87081) = 7581446022