What is the Least Common Multiple of 54594 and 54603?

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 54594 and 54603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54594 and 54603, than apply into the LCM equation.

GCF(54594,54603) = 9
LCM(54594,54603) = ( 54594 × 54603) / 9
LCM(54594,54603) = 2980996182 / 9
LCM(54594,54603) = 331221798

Least Common Multiple (LCM) of 54594 and 54603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54594 and 54603. First we will calculate the prime factors of 54594 and 54603.

Prime Factorization of 54594

Prime Factorization of 54603

Now multiplying the highest exponent prime factors to calculate the LCM of 54594 and 54603.

LCM(54594,54603) = 2¹ × 3⁴ × 337¹ × 6067¹
LCM(54594,54603) = 331221798