What is the Least Common Multiple of 54096 and 54115?

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 54096 and 54115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54096 and 54115, than apply into the LCM equation.

GCF(54096,54115) = 1
LCM(54096,54115) = ( 54096 × 54115) / 1
LCM(54096,54115) = 2927405040 / 1
LCM(54096,54115) = 2927405040

Least Common Multiple (LCM) of 54096 and 54115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54096 and 54115. First we will calculate the prime factors of 54096 and 54115.

Prime Factorization of 54096

Prime Factorization of 54115

Now multiplying the highest exponent prime factors to calculate the LCM of 54096 and 54115.

LCM(54096,54115) = 2⁴ × 3¹ × 7² × 23¹ × 5¹ × 79¹ × 137¹
LCM(54096,54115) = 2927405040