What is the Least Common Multiple of 62139 and 62148?

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 62139 and 62148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62139 and 62148, than apply into the LCM equation.

GCF(62139,62148) = 3
LCM(62139,62148) = ( 62139 × 62148) / 3
LCM(62139,62148) = 3861814572 / 3
LCM(62139,62148) = 1287271524

Least Common Multiple (LCM) of 62139 and 62148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62139 and 62148. First we will calculate the prime factors of 62139 and 62148.

Prime Factorization of 62139

Prime Factorization of 62148

Now multiplying the highest exponent prime factors to calculate the LCM of 62139 and 62148.

LCM(62139,62148) = 3¹ × 7¹ × 11¹ × 269¹ × 2² × 5179¹
LCM(62139,62148) = 1287271524