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What is the Least Common Multiple of 87523 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 87523 and 87537 is 7661500851.

LCM(87523,87537) = 7661500851

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Least Common Multiple of 87523 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 87523 and 87537, than apply into the LCM equation.

GCF(87523,87537) = 1
LCM(87523,87537) = ( 87523 × 87537) / 1
LCM(87523,87537) = 7661500851 / 1
LCM(87523,87537) = 7661500851

Least Common Multiple (LCM) of 87523 and 87537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87523 and 87537. First we will calculate the prime factors of 87523 and 87537.

Prime Factorization of 87523

Prime factors of 87523 are 87523. Prime factorization of 87523 in exponential form is:

87523 = 875231

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 87523 and 87537.

LCM(87523,87537) = 875231 × 31 × 291791
LCM(87523,87537) = 7661500851