What is the Least Common Multiple of 62175 and 62190?

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 62175 and 62190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62175 and 62190, than apply into the LCM equation.

GCF(62175,62190) = 15
LCM(62175,62190) = ( 62175 × 62190) / 15
LCM(62175,62190) = 3866663250 / 15
LCM(62175,62190) = 257777550

Least Common Multiple (LCM) of 62175 and 62190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62175 and 62190. First we will calculate the prime factors of 62175 and 62190.

Prime Factorization of 62175

Prime Factorization of 62190

Now multiplying the highest exponent prime factors to calculate the LCM of 62175 and 62190.

LCM(62175,62190) = 3² × 5² × 829¹ × 2¹ × 691¹
LCM(62175,62190) = 257777550