What is the Least Common Multiple of 37270 and 37285?

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 37270 and 37285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37270 and 37285, than apply into the LCM equation.

GCF(37270,37285) = 5
LCM(37270,37285) = ( 37270 × 37285) / 5
LCM(37270,37285) = 1389611950 / 5
LCM(37270,37285) = 277922390

Least Common Multiple (LCM) of 37270 and 37285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37270 and 37285. First we will calculate the prime factors of 37270 and 37285.

Prime Factorization of 37270

Prime Factorization of 37285

Now multiplying the highest exponent prime factors to calculate the LCM of 37270 and 37285.

LCM(37270,37285) = 2¹ × 5¹ × 3727¹ × 7457¹
LCM(37270,37285) = 277922390