What is the Least Common Multiple of 63150 and 63165?

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 63150 and 63165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63150 and 63165, than apply into the LCM equation.

GCF(63150,63165) = 15
LCM(63150,63165) = ( 63150 × 63165) / 15
LCM(63150,63165) = 3988869750 / 15
LCM(63150,63165) = 265924650

Least Common Multiple (LCM) of 63150 and 63165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63150 and 63165. First we will calculate the prime factors of 63150 and 63165.

Prime Factorization of 63150

Prime Factorization of 63165

Now multiplying the highest exponent prime factors to calculate the LCM of 63150 and 63165.

LCM(63150,63165) = 2¹ × 3¹ × 5² × 421¹ × 4211¹
LCM(63150,63165) = 265924650