What is the Least Common Multiple of 54240 and 54260?

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 54240 and 54260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54240 and 54260, than apply into the LCM equation.

GCF(54240,54260) = 20
LCM(54240,54260) = ( 54240 × 54260) / 20
LCM(54240,54260) = 2943062400 / 20
LCM(54240,54260) = 147153120

Least Common Multiple (LCM) of 54240 and 54260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54240 and 54260. First we will calculate the prime factors of 54240 and 54260.

Prime Factorization of 54240

Prime Factorization of 54260

Now multiplying the highest exponent prime factors to calculate the LCM of 54240 and 54260.

LCM(54240,54260) = 2⁵ × 3¹ × 5¹ × 113¹ × 2713¹
LCM(54240,54260) = 147153120