What is the Least Common Multiple of 37494 and 37501?

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 37494 and 37501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37494 and 37501, than apply into the LCM equation.

GCF(37494,37501) = 1
LCM(37494,37501) = ( 37494 × 37501) / 1
LCM(37494,37501) = 1406062494 / 1
LCM(37494,37501) = 1406062494

Least Common Multiple (LCM) of 37494 and 37501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37494 and 37501. First we will calculate the prime factors of 37494 and 37501.

Prime Factorization of 37494

Prime Factorization of 37501

Now multiplying the highest exponent prime factors to calculate the LCM of 37494 and 37501.

LCM(37494,37501) = 2¹ × 3² × 2083¹ × 37501¹
LCM(37494,37501) = 1406062494