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What is the Least Common Multiple of 87529 and 87537?

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 87529 and 87537 is 7662026073.

LCM(87529,87537) = 7662026073

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Least Common Multiple of 87529 and 87537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87529 and 87537, than apply into the LCM equation.

GCF(87529,87537) = 1
LCM(87529,87537) = ( 87529 × 87537) / 1
LCM(87529,87537) = 7662026073 / 1
LCM(87529,87537) = 7662026073

Least Common Multiple (LCM) of 87529 and 87537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87529 and 87537. First we will calculate the prime factors of 87529 and 87537.

Prime Factorization of 87529

Prime factors of 87529 are 13, 6733. Prime factorization of 87529 in exponential form is:

87529 = 131 × 67331

Prime Factorization of 87537

Prime factors of 87537 are 3, 29179. Prime factorization of 87537 in exponential form is:

87537 = 31 × 291791

Now multiplying the highest exponent prime factors to calculate the LCM of 87529 and 87537.

LCM(87529,87537) = 131 × 67331 × 31 × 291791
LCM(87529,87537) = 7662026073