What is the Least Common Multiple of 54258 and 54268?

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 54258 and 54268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54258 and 54268, than apply into the LCM equation.

GCF(54258,54268) = 2
LCM(54258,54268) = ( 54258 × 54268) / 2
LCM(54258,54268) = 2944473144 / 2
LCM(54258,54268) = 1472236572

Least Common Multiple (LCM) of 54258 and 54268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54258 and 54268. First we will calculate the prime factors of 54258 and 54268.

Prime Factorization of 54258

Prime Factorization of 54268

Now multiplying the highest exponent prime factors to calculate the LCM of 54258 and 54268.

LCM(54258,54268) = 2² × 3¹ × 9043¹ × 13567¹
LCM(54258,54268) = 1472236572