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What is the Least Common Multiple of 87531 and 87551?

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 87531 and 87551 is 7663426581.

LCM(87531,87551) = 7663426581

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Least Common Multiple of 87531 and 87551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87531 and 87551, than apply into the LCM equation.

GCF(87531,87551) = 1
LCM(87531,87551) = ( 87531 × 87551) / 1
LCM(87531,87551) = 7663426581 / 1
LCM(87531,87551) = 7663426581

Least Common Multiple (LCM) of 87531 and 87551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87531 and 87551. First we will calculate the prime factors of 87531 and 87551.

Prime Factorization of 87531

Prime factors of 87531 are 3, 163, 179. Prime factorization of 87531 in exponential form is:

87531 = 31 × 1631 × 1791

Prime Factorization of 87551

Prime factors of 87551 are 29, 3019. Prime factorization of 87551 in exponential form is:

87551 = 291 × 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 87531 and 87551.

LCM(87531,87551) = 31 × 1631 × 1791 × 291 × 30191
LCM(87531,87551) = 7663426581