What is the Least Common Multiple of 37341 and 37349?

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 37341 and 37349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37341 and 37349, than apply into the LCM equation.

GCF(37341,37349) = 1
LCM(37341,37349) = ( 37341 × 37349) / 1
LCM(37341,37349) = 1394649009 / 1
LCM(37341,37349) = 1394649009

Least Common Multiple (LCM) of 37341 and 37349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37341 and 37349. First we will calculate the prime factors of 37341 and 37349.

Prime Factorization of 37341

Prime Factorization of 37349

Now multiplying the highest exponent prime factors to calculate the LCM of 37341 and 37349.

LCM(37341,37349) = 3⁴ × 461¹ × 13³ × 17¹
LCM(37341,37349) = 1394649009