What is the Least Common Multiple of 54036 and 54055?

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 54036 and 54055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54036 and 54055, than apply into the LCM equation.

GCF(54036,54055) = 19
LCM(54036,54055) = ( 54036 × 54055) / 19
LCM(54036,54055) = 2920915980 / 19
LCM(54036,54055) = 153732420

Least Common Multiple (LCM) of 54036 and 54055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54036 and 54055. First we will calculate the prime factors of 54036 and 54055.

Prime Factorization of 54036

Prime Factorization of 54055

Now multiplying the highest exponent prime factors to calculate the LCM of 54036 and 54055.

LCM(54036,54055) = 2² × 3² × 19¹ × 79¹ × 5¹ × 569¹
LCM(54036,54055) = 153732420