What is the Least Common Multiple of 54312 and 54326?

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 54326 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 54326, than apply into the LCM equation.

GCF(54312,54326) = 2
LCM(54312,54326) = ( 54312 × 54326) / 2
LCM(54312,54326) = 2950553712 / 2
LCM(54312,54326) = 1475276856

Least Common Multiple (LCM) of 54312 and 54326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54312 and 54326. First we will calculate the prime factors of 54312 and 54326.

Prime Factorization of 54312

Prime Factorization of 54326

Now multiplying the highest exponent prime factors to calculate the LCM of 54312 and 54326.

LCM(54312,54326) = 2³ × 3¹ × 31¹ × 73¹ × 23¹ × 1181¹
LCM(54312,54326) = 1475276856