What is the Least Common Multiple of 63006 and 63012?

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 63006 and 63012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63006 and 63012, than apply into the LCM equation.

GCF(63006,63012) = 6
LCM(63006,63012) = ( 63006 × 63012) / 6
LCM(63006,63012) = 3970134072 / 6
LCM(63006,63012) = 661689012

Least Common Multiple (LCM) of 63006 and 63012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63006 and 63012. First we will calculate the prime factors of 63006 and 63012.

Prime Factorization of 63006

Prime Factorization of 63012

Now multiplying the highest exponent prime factors to calculate the LCM of 63006 and 63012.

LCM(63006,63012) = 2² × 3¹ × 10501¹ × 59¹ × 89¹
LCM(63006,63012) = 661689012