What is the Least Common Multiple of 62148 and 62166?

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 62148 and 62166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62148 and 62166, than apply into the LCM equation.

GCF(62148,62166) = 6
LCM(62148,62166) = ( 62148 × 62166) / 6
LCM(62148,62166) = 3863492568 / 6
LCM(62148,62166) = 643915428

Least Common Multiple (LCM) of 62148 and 62166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62148 and 62166. First we will calculate the prime factors of 62148 and 62166.

Prime Factorization of 62148

Prime Factorization of 62166

Now multiplying the highest exponent prime factors to calculate the LCM of 62148 and 62166.

LCM(62148,62166) = 2² × 3¹ × 5179¹ × 13¹ × 797¹
LCM(62148,62166) = 643915428