What is the Least Common Multiple of 54598 and 54612?

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 54598 and 54612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54598 and 54612, than apply into the LCM equation.

GCF(54598,54612) = 2
LCM(54598,54612) = ( 54598 × 54612) / 2
LCM(54598,54612) = 2981705976 / 2
LCM(54598,54612) = 1490852988

Least Common Multiple (LCM) of 54598 and 54612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54598 and 54612. First we will calculate the prime factors of 54598 and 54612.

Prime Factorization of 54598

Prime Factorization of 54612

Now multiplying the highest exponent prime factors to calculate the LCM of 54598 and 54612.

LCM(54598,54612) = 2² × 27299¹ × 3² × 37¹ × 41¹
LCM(54598,54612) = 1490852988