What is the Least Common Multiple of 47499 and 47507?

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 47499 and 47507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47499 and 47507, than apply into the LCM equation.

GCF(47499,47507) = 1
LCM(47499,47507) = ( 47499 × 47507) / 1
LCM(47499,47507) = 2256534993 / 1
LCM(47499,47507) = 2256534993

Least Common Multiple (LCM) of 47499 and 47507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47499 and 47507. First we will calculate the prime factors of 47499 and 47507.

Prime Factorization of 47499

Prime Factorization of 47507

Now multiplying the highest exponent prime factors to calculate the LCM of 47499 and 47507.

LCM(47499,47507) = 3¹ × 71¹ × 223¹ × 47507¹
LCM(47499,47507) = 2256534993