What is the Least Common Multiple of 60619 and 60632?

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 60619 and 60632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60619 and 60632, than apply into the LCM equation.

GCF(60619,60632) = 13
LCM(60619,60632) = ( 60619 × 60632) / 13
LCM(60619,60632) = 3675451208 / 13
LCM(60619,60632) = 282727016

Least Common Multiple (LCM) of 60619 and 60632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60619 and 60632. First we will calculate the prime factors of 60619 and 60632.

Prime Factorization of 60619

Prime Factorization of 60632

Now multiplying the highest exponent prime factors to calculate the LCM of 60619 and 60632.

LCM(60619,60632) = 13¹ × 4663¹ × 2³ × 11¹ × 53¹
LCM(60619,60632) = 282727016