What is the Least Common Multiple of 59613 and 59619?

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 59613 and 59619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59613 and 59619, than apply into the LCM equation.

GCF(59613,59619) = 3
LCM(59613,59619) = ( 59613 × 59619) / 3
LCM(59613,59619) = 3554067447 / 3
LCM(59613,59619) = 1184689149

Least Common Multiple (LCM) of 59613 and 59619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59613 and 59619. First we will calculate the prime factors of 59613 and 59619.

Prime Factorization of 59613

Prime Factorization of 59619

Now multiplying the highest exponent prime factors to calculate the LCM of 59613 and 59619.

LCM(59613,59619) = 3¹ × 31¹ × 641¹ × 7¹ × 17¹ × 167¹
LCM(59613,59619) = 1184689149