What is the Least Common Multiple of 54135 and 54141?

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 54141 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 54141, than apply into the LCM equation.

GCF(54135,54141) = 3
LCM(54135,54141) = ( 54135 × 54141) / 3
LCM(54135,54141) = 2930923035 / 3
LCM(54135,54141) = 976974345

Least Common Multiple (LCM) of 54135 and 54141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54135 and 54141. First we will calculate the prime factors of 54135 and 54141.

Prime Factorization of 54135

Prime Factorization of 54141

Now multiplying the highest exponent prime factors to calculate the LCM of 54135 and 54141.

LCM(54135,54141) = 3³ × 5¹ × 401¹ × 18047¹
LCM(54135,54141) = 976974345