What is the Least Common Multiple of 54240 and 54246?

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 54246 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 54246, than apply into the LCM equation.

GCF(54240,54246) = 6
LCM(54240,54246) = ( 54240 × 54246) / 6
LCM(54240,54246) = 2942303040 / 6
LCM(54240,54246) = 490383840

Least Common Multiple (LCM) of 54240 and 54246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54240 and 54246. First we will calculate the prime factors of 54240 and 54246.

Prime Factorization of 54240

Prime Factorization of 54246

Now multiplying the highest exponent prime factors to calculate the LCM of 54240 and 54246.

LCM(54240,54246) = 2⁵ × 3¹ × 5¹ × 113¹ × 9041¹
LCM(54240,54246) = 490383840