What is the Least Common Multiple of 63179 and 63183?

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 63179 and 63183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63179 and 63183, than apply into the LCM equation.

GCF(63179,63183) = 1
LCM(63179,63183) = ( 63179 × 63183) / 1
LCM(63179,63183) = 3991838757 / 1
LCM(63179,63183) = 3991838757

Least Common Multiple (LCM) of 63179 and 63183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63179 and 63183. First we will calculate the prime factors of 63179 and 63183.

Prime Factorization of 63179

Prime Factorization of 63183

Now multiplying the highest exponent prime factors to calculate the LCM of 63179 and 63183.

LCM(63179,63183) = 63179¹ × 3¹ × 21061¹
LCM(63179,63183) = 3991838757