What is the Least Common Multiple of 54126 and 54133?

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 54126 and 54133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54126 and 54133, than apply into the LCM equation.

GCF(54126,54133) = 1
LCM(54126,54133) = ( 54126 × 54133) / 1
LCM(54126,54133) = 2930002758 / 1
LCM(54126,54133) = 2930002758

Least Common Multiple (LCM) of 54126 and 54133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54126 and 54133. First we will calculate the prime factors of 54126 and 54133.

Prime Factorization of 54126

Prime Factorization of 54133

Now multiplying the highest exponent prime factors to calculate the LCM of 54126 and 54133.

LCM(54126,54133) = 2¹ × 3² × 31¹ × 97¹ × 54133¹
LCM(54126,54133) = 2930002758