What is the Least Common Multiple of 37338 and 37352?

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 37352 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 37352, than apply into the LCM equation.

GCF(37338,37352) = 14
LCM(37338,37352) = ( 37338 × 37352) / 14
LCM(37338,37352) = 1394648976 / 14
LCM(37338,37352) = 99617784

Least Common Multiple (LCM) of 37338 and 37352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37338 and 37352. First we will calculate the prime factors of 37338 and 37352.

Prime Factorization of 37338

Prime Factorization of 37352

Now multiplying the highest exponent prime factors to calculate the LCM of 37338 and 37352.

LCM(37338,37352) = 2³ × 3¹ × 7² × 127¹ × 23¹ × 29¹
LCM(37338,37352) = 99617784