What is the Least Common Multiple of 22314 and 22328?

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 22314 and 22328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22314 and 22328, than apply into the LCM equation.

GCF(22314,22328) = 2
LCM(22314,22328) = ( 22314 × 22328) / 2
LCM(22314,22328) = 498226992 / 2
LCM(22314,22328) = 249113496

Least Common Multiple (LCM) of 22314 and 22328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22314 and 22328. First we will calculate the prime factors of 22314 and 22328.

Prime Factorization of 22314

Prime Factorization of 22328

Now multiplying the highest exponent prime factors to calculate the LCM of 22314 and 22328.

LCM(22314,22328) = 2³ × 3¹ × 3719¹ × 2791¹
LCM(22314,22328) = 249113496