What is the Least Common Multiple of 37360 and 37375?

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 37360 and 37375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37360 and 37375, than apply into the LCM equation.

GCF(37360,37375) = 5
LCM(37360,37375) = ( 37360 × 37375) / 5
LCM(37360,37375) = 1396330000 / 5
LCM(37360,37375) = 279266000

Least Common Multiple (LCM) of 37360 and 37375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37360 and 37375. First we will calculate the prime factors of 37360 and 37375.

Prime Factorization of 37360

Prime Factorization of 37375

Now multiplying the highest exponent prime factors to calculate the LCM of 37360 and 37375.

LCM(37360,37375) = 2⁴ × 5³ × 467¹ × 13¹ × 23¹
LCM(37360,37375) = 279266000