What is the Least Common Multiple of 60606 and 60619?

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 60606 and 60619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60606 and 60619, than apply into the LCM equation.

GCF(60606,60619) = 13
LCM(60606,60619) = ( 60606 × 60619) / 13
LCM(60606,60619) = 3673875114 / 13
LCM(60606,60619) = 282605778

Least Common Multiple (LCM) of 60606 and 60619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60606 and 60619. First we will calculate the prime factors of 60606 and 60619.

Prime Factorization of 60606

Prime Factorization of 60619

Now multiplying the highest exponent prime factors to calculate the LCM of 60606 and 60619.

LCM(60606,60619) = 2¹ × 3² × 7¹ × 13¹ × 37¹ × 4663¹
LCM(60606,60619) = 282605778