What is the Least Common Multiple of 37480 and 37498?

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 37480 and 37498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37480 and 37498, than apply into the LCM equation.

GCF(37480,37498) = 2
LCM(37480,37498) = ( 37480 × 37498) / 2
LCM(37480,37498) = 1405425040 / 2
LCM(37480,37498) = 702712520

Least Common Multiple (LCM) of 37480 and 37498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37480 and 37498. First we will calculate the prime factors of 37480 and 37498.

Prime Factorization of 37480

Prime Factorization of 37498

Now multiplying the highest exponent prime factors to calculate the LCM of 37480 and 37498.

LCM(37480,37498) = 2³ × 5¹ × 937¹ × 18749¹
LCM(37480,37498) = 702712520