What is the Least Common Multiple of 62653 and 62658?

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 62653 and 62658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62653 and 62658, than apply into the LCM equation.

GCF(62653,62658) = 1
LCM(62653,62658) = ( 62653 × 62658) / 1
LCM(62653,62658) = 3925711674 / 1
LCM(62653,62658) = 3925711674

Least Common Multiple (LCM) of 62653 and 62658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62653 and 62658. First we will calculate the prime factors of 62653 and 62658.

Prime Factorization of 62653

Prime Factorization of 62658

Now multiplying the highest exponent prime factors to calculate the LCM of 62653 and 62658.

LCM(62653,62658) = 62653¹ × 2¹ × 3² × 59²
LCM(62653,62658) = 3925711674