What is the Least Common Multiple of 37970 and 37975?

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 37970 and 37975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37970 and 37975, than apply into the LCM equation.

GCF(37970,37975) = 5
LCM(37970,37975) = ( 37970 × 37975) / 5
LCM(37970,37975) = 1441910750 / 5
LCM(37970,37975) = 288382150

Least Common Multiple (LCM) of 37970 and 37975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37970 and 37975. First we will calculate the prime factors of 37970 and 37975.

Prime Factorization of 37970

Prime Factorization of 37975

Now multiplying the highest exponent prime factors to calculate the LCM of 37970 and 37975.

LCM(37970,37975) = 2¹ × 5² × 3797¹ × 7² × 31¹
LCM(37970,37975) = 288382150