What is the Least Common Multiple of 47504 and 47519?

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 47504 and 47519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47504 and 47519, than apply into the LCM equation.

GCF(47504,47519) = 1
LCM(47504,47519) = ( 47504 × 47519) / 1
LCM(47504,47519) = 2257342576 / 1
LCM(47504,47519) = 2257342576

Least Common Multiple (LCM) of 47504 and 47519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47504 and 47519. First we will calculate the prime factors of 47504 and 47519.

Prime Factorization of 47504

Prime Factorization of 47519

Now multiplying the highest exponent prime factors to calculate the LCM of 47504 and 47519.

LCM(47504,47519) = 2⁴ × 2969¹ × 19¹ × 41¹ × 61¹
LCM(47504,47519) = 2257342576