What is the Least Common Multiple of 47519 and 47537?

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 47519 and 47537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47519 and 47537, than apply into the LCM equation.

GCF(47519,47537) = 1
LCM(47519,47537) = ( 47519 × 47537) / 1
LCM(47519,47537) = 2258910703 / 1
LCM(47519,47537) = 2258910703

Least Common Multiple (LCM) of 47519 and 47537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47519 and 47537. First we will calculate the prime factors of 47519 and 47537.

Prime Factorization of 47519

Prime Factorization of 47537

Now multiplying the highest exponent prime factors to calculate the LCM of 47519 and 47537.

LCM(47519,47537) = 19¹ × 41¹ × 61¹ × 7¹ × 6791¹
LCM(47519,47537) = 2258910703