What is the Least Common Multiple of 63006 and 63024?

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 63024 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 63024, than apply into the LCM equation.

GCF(63006,63024) = 6
LCM(63006,63024) = ( 63006 × 63024) / 6
LCM(63006,63024) = 3970890144 / 6
LCM(63006,63024) = 661815024

Least Common Multiple (LCM) of 63006 and 63024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63006 and 63024. First we will calculate the prime factors of 63006 and 63024.

Prime Factorization of 63006

Prime Factorization of 63024

Now multiplying the highest exponent prime factors to calculate the LCM of 63006 and 63024.

LCM(63006,63024) = 2⁴ × 3¹ × 10501¹ × 13¹ × 101¹
LCM(63006,63024) = 661815024