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What is the Least Common Multiple of 87463 and 87475?

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 87463 and 87475 is 7650825925.

LCM(87463,87475) = 7650825925

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Least Common Multiple of 87463 and 87475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87463 and 87475, than apply into the LCM equation.

GCF(87463,87475) = 1
LCM(87463,87475) = ( 87463 × 87475) / 1
LCM(87463,87475) = 7650825925 / 1
LCM(87463,87475) = 7650825925

Least Common Multiple (LCM) of 87463 and 87475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87463 and 87475. First we will calculate the prime factors of 87463 and 87475.

Prime Factorization of 87463

Prime factors of 87463 are 149, 587. Prime factorization of 87463 in exponential form is:

87463 = 1491 × 5871

Prime Factorization of 87475

Prime factors of 87475 are 5, 3499. Prime factorization of 87475 in exponential form is:

87475 = 52 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 87463 and 87475.

LCM(87463,87475) = 1491 × 5871 × 52 × 34991
LCM(87463,87475) = 7650825925