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What is the Least Common Multiple of 87486 and 87501?

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 87486 and 87501 is 2551704162.

LCM(87486,87501) = 2551704162

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Least Common Multiple of 87486 and 87501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87486 and 87501, than apply into the LCM equation.

GCF(87486,87501) = 3
LCM(87486,87501) = ( 87486 × 87501) / 3
LCM(87486,87501) = 7655112486 / 3
LCM(87486,87501) = 2551704162

Least Common Multiple (LCM) of 87486 and 87501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87486 and 87501. First we will calculate the prime factors of 87486 and 87501.

Prime Factorization of 87486

Prime factors of 87486 are 2, 3, 7, 2083. Prime factorization of 87486 in exponential form is:

87486 = 21 × 31 × 71 × 20831

Prime Factorization of 87501

Prime factors of 87501 are 3, 29167. Prime factorization of 87501 in exponential form is:

87501 = 31 × 291671

Now multiplying the highest exponent prime factors to calculate the LCM of 87486 and 87501.

LCM(87486,87501) = 21 × 31 × 71 × 20831 × 291671
LCM(87486,87501) = 2551704162