What is the Least Common Multiple of 54589 and 54607?

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 54589 and 54607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54589 and 54607, than apply into the LCM equation.

GCF(54589,54607) = 1
LCM(54589,54607) = ( 54589 × 54607) / 1
LCM(54589,54607) = 2980941523 / 1
LCM(54589,54607) = 2980941523

Least Common Multiple (LCM) of 54589 and 54607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54589 and 54607. First we will calculate the prime factors of 54589 and 54607.

Prime Factorization of 54589

Prime Factorization of 54607

Now multiplying the highest exponent prime factors to calculate the LCM of 54589 and 54607.

LCM(54589,54607) = 79¹ × 691¹ × 7¹ × 29¹ × 269¹
LCM(54589,54607) = 2980941523