What is the Least Common Multiple of 37504 and 37524?

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 37504 and 37524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37504 and 37524, than apply into the LCM equation.

GCF(37504,37524) = 4
LCM(37504,37524) = ( 37504 × 37524) / 4
LCM(37504,37524) = 1407300096 / 4
LCM(37504,37524) = 351825024

Least Common Multiple (LCM) of 37504 and 37524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37504 and 37524. First we will calculate the prime factors of 37504 and 37524.

Prime Factorization of 37504

Prime Factorization of 37524

Now multiplying the highest exponent prime factors to calculate the LCM of 37504 and 37524.

LCM(37504,37524) = 2⁷ × 293¹ × 3¹ × 53¹ × 59¹
LCM(37504,37524) = 351825024