What is the Least Common Multiple of 54546 and 54555?

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 54546 and 54555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54546 and 54555, than apply into the LCM equation.

GCF(54546,54555) = 3
LCM(54546,54555) = ( 54546 × 54555) / 3
LCM(54546,54555) = 2975757030 / 3
LCM(54546,54555) = 991919010

Least Common Multiple (LCM) of 54546 and 54555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54546 and 54555. First we will calculate the prime factors of 54546 and 54555.

Prime Factorization of 54546

Prime Factorization of 54555

Now multiplying the highest exponent prime factors to calculate the LCM of 54546 and 54555.

LCM(54546,54555) = 2¹ × 3¹ × 9091¹ × 5¹ × 3637¹
LCM(54546,54555) = 991919010