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What is the Least Common Multiple of 63171 and 63176?

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 63171 and 63176 is 3990891096.

LCM(63171,63176) = 3990891096

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Least Common Multiple of 63171 and 63176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63171 and 63176, than apply into the LCM equation.

GCF(63171,63176) = 1
LCM(63171,63176) = ( 63171 × 63176) / 1
LCM(63171,63176) = 3990891096 / 1
LCM(63171,63176) = 3990891096

Least Common Multiple (LCM) of 63171 and 63176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63171 and 63176. First we will calculate the prime factors of 63171 and 63176.

Prime Factorization of 63171

Prime factors of 63171 are 3, 7019. Prime factorization of 63171 in exponential form is:

63171 = 32 × 70191

Prime Factorization of 63176

Prime factors of 63176 are 2, 53, 149. Prime factorization of 63176 in exponential form is:

63176 = 23 × 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 63171 and 63176.

LCM(63171,63176) = 32 × 70191 × 23 × 531 × 1491
LCM(63171,63176) = 3990891096