What is the Least Common Multiple of 37515 and 37531?

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 37515 and 37531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37515 and 37531, than apply into the LCM equation.

GCF(37515,37531) = 1
LCM(37515,37531) = ( 37515 × 37531) / 1
LCM(37515,37531) = 1407975465 / 1
LCM(37515,37531) = 1407975465

Least Common Multiple (LCM) of 37515 and 37531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37515 and 37531. First we will calculate the prime factors of 37515 and 37531.

Prime Factorization of 37515

Prime Factorization of 37531

Now multiplying the highest exponent prime factors to calculate the LCM of 37515 and 37531.

LCM(37515,37531) = 3¹ × 5¹ × 41¹ × 61¹ × 13¹ × 2887¹
LCM(37515,37531) = 1407975465