What is the Least Common Multiple of 37392 and 37399?

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 37392 and 37399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37392 and 37399, than apply into the LCM equation.

GCF(37392,37399) = 1
LCM(37392,37399) = ( 37392 × 37399) / 1
LCM(37392,37399) = 1398423408 / 1
LCM(37392,37399) = 1398423408

Least Common Multiple (LCM) of 37392 and 37399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37392 and 37399. First we will calculate the prime factors of 37392 and 37399.

Prime Factorization of 37392

Prime Factorization of 37399

Now multiplying the highest exponent prime factors to calculate the LCM of 37392 and 37399.

LCM(37392,37399) = 2⁴ × 3¹ × 19¹ × 41¹ × 149¹ × 251¹
LCM(37392,37399) = 1398423408