What is the Least Common Multiple of 37503 and 37519?

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 37503 and 37519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37503 and 37519, than apply into the LCM equation.

GCF(37503,37519) = 1
LCM(37503,37519) = ( 37503 × 37519) / 1
LCM(37503,37519) = 1407075057 / 1
LCM(37503,37519) = 1407075057

Least Common Multiple (LCM) of 37503 and 37519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37503 and 37519. First we will calculate the prime factors of 37503 and 37519.

Prime Factorization of 37503

Prime Factorization of 37519

Now multiplying the highest exponent prime factors to calculate the LCM of 37503 and 37519.

LCM(37503,37519) = 3⁴ × 463¹ × 17¹ × 2207¹
LCM(37503,37519) = 1407075057