What is the Least Common Multiple of 15312 and 15321?

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 15312 and 15321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15312 and 15321, than apply into the LCM equation.

GCF(15312,15321) = 3
LCM(15312,15321) = ( 15312 × 15321) / 3
LCM(15312,15321) = 234595152 / 3
LCM(15312,15321) = 78198384

Least Common Multiple (LCM) of 15312 and 15321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15312 and 15321. First we will calculate the prime factors of 15312 and 15321.

Prime Factorization of 15312

Prime Factorization of 15321

Now multiplying the highest exponent prime factors to calculate the LCM of 15312 and 15321.

LCM(15312,15321) = 2⁴ × 3¹ × 11¹ × 29¹ × 5107¹
LCM(15312,15321) = 78198384