What is the Least Common Multiple of 32653 and 32658?

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 32653 and 32658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32653 and 32658, than apply into the LCM equation.

GCF(32653,32658) = 1
LCM(32653,32658) = ( 32653 × 32658) / 1
LCM(32653,32658) = 1066381674 / 1
LCM(32653,32658) = 1066381674

Least Common Multiple (LCM) of 32653 and 32658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32653 and 32658. First we will calculate the prime factors of 32653 and 32658.

Prime Factorization of 32653

Prime Factorization of 32658

Now multiplying the highest exponent prime factors to calculate the LCM of 32653 and 32658.

LCM(32653,32658) = 32653¹ × 2¹ × 3¹ × 5443¹
LCM(32653,32658) = 1066381674