What is the Least Common Multiple of 37506 and 37517?

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 37506 and 37517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37506 and 37517, than apply into the LCM equation.

GCF(37506,37517) = 1
LCM(37506,37517) = ( 37506 × 37517) / 1
LCM(37506,37517) = 1407112602 / 1
LCM(37506,37517) = 1407112602

Least Common Multiple (LCM) of 37506 and 37517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37506 and 37517. First we will calculate the prime factors of 37506 and 37517.

Prime Factorization of 37506

Prime Factorization of 37517

Now multiplying the highest exponent prime factors to calculate the LCM of 37506 and 37517.

LCM(37506,37517) = 2¹ × 3¹ × 7¹ × 19¹ × 47¹ × 37517¹
LCM(37506,37517) = 1407112602