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What is the Least Common Multiple of 87487 and 87502?

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 87487 and 87502 is 7655287474.

LCM(87487,87502) = 7655287474

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Least Common Multiple of 87487 and 87502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87487 and 87502, than apply into the LCM equation.

GCF(87487,87502) = 1
LCM(87487,87502) = ( 87487 × 87502) / 1
LCM(87487,87502) = 7655287474 / 1
LCM(87487,87502) = 7655287474

Least Common Multiple (LCM) of 87487 and 87502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87487 and 87502. First we will calculate the prime factors of 87487 and 87502.

Prime Factorization of 87487

Prime factors of 87487 are 89, 983. Prime factorization of 87487 in exponential form is:

87487 = 891 × 9831

Prime Factorization of 87502

Prime factors of 87502 are 2, 67, 653. Prime factorization of 87502 in exponential form is:

87502 = 21 × 671 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 87487 and 87502.

LCM(87487,87502) = 891 × 9831 × 21 × 671 × 6531
LCM(87487,87502) = 7655287474