What is the Least Common Multiple of 37298 and 37310?

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 37298 and 37310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37298 and 37310, than apply into the LCM equation.

GCF(37298,37310) = 2
LCM(37298,37310) = ( 37298 × 37310) / 2
LCM(37298,37310) = 1391588380 / 2
LCM(37298,37310) = 695794190

Least Common Multiple (LCM) of 37298 and 37310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37298 and 37310. First we will calculate the prime factors of 37298 and 37310.

Prime Factorization of 37298

Prime Factorization of 37310

Now multiplying the highest exponent prime factors to calculate the LCM of 37298 and 37310.

LCM(37298,37310) = 2¹ × 17¹ × 1097¹ × 5¹ × 7¹ × 13¹ × 41¹
LCM(37298,37310) = 695794190