What is the Least Common Multiple of 62988 and 63003?

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 62988 and 63003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62988 and 63003, than apply into the LCM equation.

GCF(62988,63003) = 3
LCM(62988,63003) = ( 62988 × 63003) / 3
LCM(62988,63003) = 3968432964 / 3
LCM(62988,63003) = 1322810988

Least Common Multiple (LCM) of 62988 and 63003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62988 and 63003. First we will calculate the prime factors of 62988 and 63003.

Prime Factorization of 62988

Prime Factorization of 63003

Now multiplying the highest exponent prime factors to calculate the LCM of 62988 and 63003.

LCM(62988,63003) = 2² × 3¹ × 29¹ × 181¹ × 21001¹
LCM(62988,63003) = 1322810988