What is the Least Common Multiple of 54589 and 54604?

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 54604 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 54604, than apply into the LCM equation.

GCF(54589,54604) = 1
LCM(54589,54604) = ( 54589 × 54604) / 1
LCM(54589,54604) = 2980777756 / 1
LCM(54589,54604) = 2980777756

Least Common Multiple (LCM) of 54589 and 54604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54589 and 54604. First we will calculate the prime factors of 54589 and 54604.

Prime Factorization of 54589

Prime Factorization of 54604

Now multiplying the highest exponent prime factors to calculate the LCM of 54589 and 54604.

LCM(54589,54604) = 79¹ × 691¹ × 2² × 11¹ × 17¹ × 73¹
LCM(54589,54604) = 2980777756