What is the Least Common Multiple of 15323 and 15330?

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 15323 and 15330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15323 and 15330, than apply into the LCM equation.

GCF(15323,15330) = 7
LCM(15323,15330) = ( 15323 × 15330) / 7
LCM(15323,15330) = 234901590 / 7
LCM(15323,15330) = 33557370

Least Common Multiple (LCM) of 15323 and 15330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15323 and 15330. First we will calculate the prime factors of 15323 and 15330.

Prime Factorization of 15323

Prime Factorization of 15330

Now multiplying the highest exponent prime factors to calculate the LCM of 15323 and 15330.

LCM(15323,15330) = 7¹ × 11¹ × 199¹ × 2¹ × 3¹ × 5¹ × 73¹
LCM(15323,15330) = 33557370