What is the Least Common Multiple of 54135 and 54140?

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 54135 and 54140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54135 and 54140, than apply into the LCM equation.

GCF(54135,54140) = 5
LCM(54135,54140) = ( 54135 × 54140) / 5
LCM(54135,54140) = 2930868900 / 5
LCM(54135,54140) = 586173780

Least Common Multiple (LCM) of 54135 and 54140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54135 and 54140. First we will calculate the prime factors of 54135 and 54140.

Prime Factorization of 54135

Prime Factorization of 54140

Now multiplying the highest exponent prime factors to calculate the LCM of 54135 and 54140.

LCM(54135,54140) = 3³ × 5¹ × 401¹ × 2² × 2707¹
LCM(54135,54140) = 586173780