What is the Least Common Multiple of 62971 and 62988?

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 62971 and 62988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62971 and 62988, than apply into the LCM equation.

GCF(62971,62988) = 1
LCM(62971,62988) = ( 62971 × 62988) / 1
LCM(62971,62988) = 3966417348 / 1
LCM(62971,62988) = 3966417348

Least Common Multiple (LCM) of 62971 and 62988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62971 and 62988. First we will calculate the prime factors of 62971 and 62988.

Prime Factorization of 62971

Prime Factorization of 62988

Now multiplying the highest exponent prime factors to calculate the LCM of 62971 and 62988.

LCM(62971,62988) = 62971¹ × 2² × 3¹ × 29¹ × 181¹
LCM(62971,62988) = 3966417348