What is the Least Common Multiple of 89593 and 89607?

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 89593 and 89607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89593 and 89607, than apply into the LCM equation.

GCF(89593,89607) = 7
LCM(89593,89607) = ( 89593 × 89607) / 7
LCM(89593,89607) = 8028159951 / 7
LCM(89593,89607) = 1146879993

Least Common Multiple (LCM) of 89593 and 89607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89593 and 89607. First we will calculate the prime factors of 89593 and 89607.

Prime Factorization of 89593

Prime Factorization of 89607

Now multiplying the highest exponent prime factors to calculate the LCM of 89593 and 89607.

LCM(89593,89607) = 7¹ × 12799¹ × 3¹ × 17¹ × 251¹
LCM(89593,89607) = 1146879993