What is the Least Common Multiple of 56613 and 56619?

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 56613 and 56619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56613 and 56619, than apply into the LCM equation.

GCF(56613,56619) = 3
LCM(56613,56619) = ( 56613 × 56619) / 3
LCM(56613,56619) = 3205371447 / 3
LCM(56613,56619) = 1068457149

Least Common Multiple (LCM) of 56613 and 56619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56613 and 56619. First we will calculate the prime factors of 56613 and 56619.

Prime Factorization of 56613

Prime Factorization of 56619

Now multiplying the highest exponent prime factors to calculate the LCM of 56613 and 56619.

LCM(56613,56619) = 3⁵ × 113¹ × 167¹ × 233¹
LCM(56613,56619) = 1068457149