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What is the Least Common Multiple of 87163 and 87176?

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 87163 and 87176 is 7598521688.

LCM(87163,87176) = 7598521688

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Least Common Multiple of 87163 and 87176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87163 and 87176, than apply into the LCM equation.

GCF(87163,87176) = 1
LCM(87163,87176) = ( 87163 × 87176) / 1
LCM(87163,87176) = 7598521688 / 1
LCM(87163,87176) = 7598521688

Least Common Multiple (LCM) of 87163 and 87176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87163 and 87176. First we will calculate the prime factors of 87163 and 87176.

Prime Factorization of 87163

Prime factors of 87163 are 101, 863. Prime factorization of 87163 in exponential form is:

87163 = 1011 × 8631

Prime Factorization of 87176

Prime factors of 87176 are 2, 17, 641. Prime factorization of 87176 in exponential form is:

87176 = 23 × 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 87163 and 87176.

LCM(87163,87176) = 1011 × 8631 × 23 × 171 × 6411
LCM(87163,87176) = 7598521688