What is the Least Common Multiple of 61593 and 61607?

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 61593 and 61607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61593 and 61607, than apply into the LCM equation.

GCF(61593,61607) = 7
LCM(61593,61607) = ( 61593 × 61607) / 7
LCM(61593,61607) = 3794559951 / 7
LCM(61593,61607) = 542079993

Least Common Multiple (LCM) of 61593 and 61607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61593 and 61607. First we will calculate the prime factors of 61593 and 61607.

Prime Factorization of 61593

Prime Factorization of 61607

Now multiplying the highest exponent prime factors to calculate the LCM of 61593 and 61607.

LCM(61593,61607) = 3¹ × 7² × 419¹ × 13¹ × 677¹
LCM(61593,61607) = 542079993