What is the Least Common Multiple of 63285 and 63294?

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 63285 and 63294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63285 and 63294, than apply into the LCM equation.

GCF(63285,63294) = 3
LCM(63285,63294) = ( 63285 × 63294) / 3
LCM(63285,63294) = 4005560790 / 3
LCM(63285,63294) = 1335186930

Least Common Multiple (LCM) of 63285 and 63294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63285 and 63294. First we will calculate the prime factors of 63285 and 63294.

Prime Factorization of 63285

Prime Factorization of 63294

Now multiplying the highest exponent prime factors to calculate the LCM of 63285 and 63294.

LCM(63285,63294) = 3¹ × 5¹ × 4219¹ × 2¹ × 7¹ × 11¹ × 137¹
LCM(63285,63294) = 1335186930