What is the Least Common Multiple of 37347 and 37353?

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 37347 and 37353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37347 and 37353, than apply into the LCM equation.

GCF(37347,37353) = 3
LCM(37347,37353) = ( 37347 × 37353) / 3
LCM(37347,37353) = 1395022491 / 3
LCM(37347,37353) = 465007497

Least Common Multiple (LCM) of 37347 and 37353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37347 and 37353. First we will calculate the prime factors of 37347 and 37353.

Prime Factorization of 37347

Prime Factorization of 37353

Now multiplying the highest exponent prime factors to calculate the LCM of 37347 and 37353.

LCM(37347,37353) = 3¹ × 59¹ × 211¹ × 12451¹
LCM(37347,37353) = 465007497