What is the Least Common Multiple of 37324 and 37338?

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 37324 and 37338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37324 and 37338, than apply into the LCM equation.

GCF(37324,37338) = 14
LCM(37324,37338) = ( 37324 × 37338) / 14
LCM(37324,37338) = 1393603512 / 14
LCM(37324,37338) = 99543108

Least Common Multiple (LCM) of 37324 and 37338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37324 and 37338. First we will calculate the prime factors of 37324 and 37338.

Prime Factorization of 37324

Prime Factorization of 37338

Now multiplying the highest exponent prime factors to calculate the LCM of 37324 and 37338.

LCM(37324,37338) = 2² × 7² × 31¹ × 43¹ × 3¹ × 127¹
LCM(37324,37338) = 99543108