What is the Least Common Multiple of 60648 and 60652?

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 60648 and 60652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60648 and 60652, than apply into the LCM equation.

GCF(60648,60652) = 4
LCM(60648,60652) = ( 60648 × 60652) / 4
LCM(60648,60652) = 3678422496 / 4
LCM(60648,60652) = 919605624

Least Common Multiple (LCM) of 60648 and 60652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60648 and 60652. First we will calculate the prime factors of 60648 and 60652.

Prime Factorization of 60648

Prime Factorization of 60652

Now multiplying the highest exponent prime factors to calculate the LCM of 60648 and 60652.

LCM(60648,60652) = 2³ × 3¹ × 7¹ × 19² × 59¹ × 257¹
LCM(60648,60652) = 919605624