What is the Least Common Multiple of 63147 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 of 63147 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 63147 and 63164, than apply into the LCM equation.

GCF(63147,63164) = 1
LCM(63147,63164) = ( 63147 × 63164) / 1
LCM(63147,63164) = 3988617108 / 1
LCM(63147,63164) = 3988617108

Least Common Multiple (LCM) of 63147 and 63164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63147 and 63164. First we will calculate the prime factors of 63147 and 63164.

Prime Factorization of 63147

Prime Factorization of 63164

Now multiplying the highest exponent prime factors to calculate the LCM of 63147 and 63164.

LCM(63147,63164) = 3¹ × 7¹ × 31¹ × 97¹ × 2² × 15791¹
LCM(63147,63164) = 3988617108