What is the Least Common Multiple of 37338 and 37356?

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 37338 and 37356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37338 and 37356, than apply into the LCM equation.

GCF(37338,37356) = 6
LCM(37338,37356) = ( 37338 × 37356) / 6
LCM(37338,37356) = 1394798328 / 6
LCM(37338,37356) = 232466388

Least Common Multiple (LCM) of 37338 and 37356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37338 and 37356. First we will calculate the prime factors of 37338 and 37356.

Prime Factorization of 37338

Prime Factorization of 37356

Now multiplying the highest exponent prime factors to calculate the LCM of 37338 and 37356.

LCM(37338,37356) = 2² × 3¹ × 7² × 127¹ × 11¹ × 283¹
LCM(37338,37356) = 232466388