What is the Least Common Multiple of 72324 and 72338?

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 72324 and 72338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72324 and 72338, than apply into the LCM equation.

GCF(72324,72338) = 14
LCM(72324,72338) = ( 72324 × 72338) / 14
LCM(72324,72338) = 5231773512 / 14
LCM(72324,72338) = 373698108

Least Common Multiple (LCM) of 72324 and 72338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72324 and 72338. First we will calculate the prime factors of 72324 and 72338.

Prime Factorization of 72324

Prime Factorization of 72338

Now multiplying the highest exponent prime factors to calculate the LCM of 72324 and 72338.

LCM(72324,72338) = 2² × 3² × 7² × 41¹ × 5167¹
LCM(72324,72338) = 373698108