What is the Least Common Multiple of 62172 and 62188?

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 62188 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 62188, than apply into the LCM equation.

GCF(62172,62188) = 4
LCM(62172,62188) = ( 62172 × 62188) / 4
LCM(62172,62188) = 3866352336 / 4
LCM(62172,62188) = 966588084

Least Common Multiple (LCM) of 62172 and 62188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62172 and 62188. First we will calculate the prime factors of 62172 and 62188.

Prime Factorization of 62172

Prime Factorization of 62188

Now multiplying the highest exponent prime factors to calculate the LCM of 62172 and 62188.

LCM(62172,62188) = 2² × 3² × 11¹ × 157¹ × 7¹ × 2221¹
LCM(62172,62188) = 966588084