What is the Least Common Multiple of 37160 and 37175?

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 37160 and 37175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37160 and 37175, than apply into the LCM equation.

GCF(37160,37175) = 5
LCM(37160,37175) = ( 37160 × 37175) / 5
LCM(37160,37175) = 1381423000 / 5
LCM(37160,37175) = 276284600

Least Common Multiple (LCM) of 37160 and 37175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37160 and 37175. First we will calculate the prime factors of 37160 and 37175.

Prime Factorization of 37160

Prime Factorization of 37175

Now multiplying the highest exponent prime factors to calculate the LCM of 37160 and 37175.

LCM(37160,37175) = 2³ × 5² × 929¹ × 1487¹
LCM(37160,37175) = 276284600