What is the Least Common Multiple of 54252 and 54266?

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 54252 and 54266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54252 and 54266, than apply into the LCM equation.

GCF(54252,54266) = 2
LCM(54252,54266) = ( 54252 × 54266) / 2
LCM(54252,54266) = 2944039032 / 2
LCM(54252,54266) = 1472019516

Least Common Multiple (LCM) of 54252 and 54266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54252 and 54266. First we will calculate the prime factors of 54252 and 54266.

Prime Factorization of 54252

Prime Factorization of 54266

Now multiplying the highest exponent prime factors to calculate the LCM of 54252 and 54266.

LCM(54252,54266) = 2² × 3² × 11¹ × 137¹ × 43¹ × 631¹
LCM(54252,54266) = 1472019516