What is the Least Common Multiple of 62132 and 62146?

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 62132 and 62146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62132 and 62146, than apply into the LCM equation.

GCF(62132,62146) = 14
LCM(62132,62146) = ( 62132 × 62146) / 14
LCM(62132,62146) = 3861255272 / 14
LCM(62132,62146) = 275803948

Least Common Multiple (LCM) of 62132 and 62146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62132 and 62146. First we will calculate the prime factors of 62132 and 62146.

Prime Factorization of 62132

Prime Factorization of 62146

Now multiplying the highest exponent prime factors to calculate the LCM of 62132 and 62146.

LCM(62132,62146) = 2² × 7² × 317¹ × 23¹ × 193¹
LCM(62132,62146) = 275803948