What is the Least Common Multiple of 54312 and 54331?

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 54312 and 54331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54312 and 54331, than apply into the LCM equation.

GCF(54312,54331) = 1
LCM(54312,54331) = ( 54312 × 54331) / 1
LCM(54312,54331) = 2950825272 / 1
LCM(54312,54331) = 2950825272

Least Common Multiple (LCM) of 54312 and 54331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54312 and 54331. First we will calculate the prime factors of 54312 and 54331.

Prime Factorization of 54312

Prime Factorization of 54331

Now multiplying the highest exponent prime factors to calculate the LCM of 54312 and 54331.

LCM(54312,54331) = 2³ × 3¹ × 31¹ × 73¹ × 54331¹
LCM(54312,54331) = 2950825272