What is the Least Common Multiple of 54456 and 54469?

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 54456 and 54469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54456 and 54469, than apply into the LCM equation.

GCF(54456,54469) = 1
LCM(54456,54469) = ( 54456 × 54469) / 1
LCM(54456,54469) = 2966163864 / 1
LCM(54456,54469) = 2966163864

Least Common Multiple (LCM) of 54456 and 54469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54456 and 54469. First we will calculate the prime factors of 54456 and 54469.

Prime Factorization of 54456

Prime Factorization of 54469

Now multiplying the highest exponent prime factors to calculate the LCM of 54456 and 54469.

LCM(54456,54469) = 2³ × 3¹ × 2269¹ × 54469¹
LCM(54456,54469) = 2966163864