What is the Least Common Multiple of 54115 and 54135?

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 54115 and 54135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54115 and 54135, than apply into the LCM equation.

GCF(54115,54135) = 5
LCM(54115,54135) = ( 54115 × 54135) / 5
LCM(54115,54135) = 2929515525 / 5
LCM(54115,54135) = 585903105

Least Common Multiple (LCM) of 54115 and 54135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54115 and 54135. First we will calculate the prime factors of 54115 and 54135.

Prime Factorization of 54115

Prime Factorization of 54135

Now multiplying the highest exponent prime factors to calculate the LCM of 54115 and 54135.

LCM(54115,54135) = 5¹ × 79¹ × 137¹ × 3³ × 401¹
LCM(54115,54135) = 585903105