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What is the Least Common Multiple of 63160 and 63164?

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 63160 and 63164 is 997359560.

LCM(63160,63164) = 997359560

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Least Common Multiple of 63160 and 63164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63160 and 63164, than apply into the LCM equation.

GCF(63160,63164) = 4
LCM(63160,63164) = ( 63160 × 63164) / 4
LCM(63160,63164) = 3989438240 / 4
LCM(63160,63164) = 997359560

Least Common Multiple (LCM) of 63160 and 63164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63160 and 63164. First we will calculate the prime factors of 63160 and 63164.

Prime Factorization of 63160

Prime factors of 63160 are 2, 5, 1579. Prime factorization of 63160 in exponential form is:

63160 = 23 × 51 × 15791

Prime Factorization of 63164

Prime factors of 63164 are 2, 15791. Prime factorization of 63164 in exponential form is:

63164 = 22 × 157911

Now multiplying the highest exponent prime factors to calculate the LCM of 63160 and 63164.

LCM(63160,63164) = 23 × 51 × 15791 × 157911
LCM(63160,63164) = 997359560