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What is the Least Common Multiple of 87059 and 87063?

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 87059 and 87063 is 7579617717.

LCM(87059,87063) = 7579617717

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Least Common Multiple of 87059 and 87063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87059 and 87063, than apply into the LCM equation.

GCF(87059,87063) = 1
LCM(87059,87063) = ( 87059 × 87063) / 1
LCM(87059,87063) = 7579617717 / 1
LCM(87059,87063) = 7579617717

Least Common Multiple (LCM) of 87059 and 87063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87059 and 87063. First we will calculate the prime factors of 87059 and 87063.

Prime Factorization of 87059

Prime factors of 87059 are 7, 12437. Prime factorization of 87059 in exponential form is:

87059 = 71 × 124371

Prime Factorization of 87063

Prime factors of 87063 are 3, 29021. Prime factorization of 87063 in exponential form is:

87063 = 31 × 290211

Now multiplying the highest exponent prime factors to calculate the LCM of 87059 and 87063.

LCM(87059,87063) = 71 × 124371 × 31 × 290211
LCM(87059,87063) = 7579617717