What is the Least Common Multiple of 62172 and 62187?

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 62172 and 62187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62172 and 62187, than apply into the LCM equation.

GCF(62172,62187) = 3
LCM(62172,62187) = ( 62172 × 62187) / 3
LCM(62172,62187) = 3866290164 / 3
LCM(62172,62187) = 1288763388

Least Common Multiple (LCM) of 62172 and 62187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62172 and 62187. First we will calculate the prime factors of 62172 and 62187.

Prime Factorization of 62172

Prime Factorization of 62187

Now multiplying the highest exponent prime factors to calculate the LCM of 62172 and 62187.

LCM(62172,62187) = 2² × 3² × 11¹ × 157¹ × 19¹ × 1091¹
LCM(62172,62187) = 1288763388