What is the Least Common Multiple of 47489 and 47496?

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 47489 and 47496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47489 and 47496, than apply into the LCM equation.

GCF(47489,47496) = 1
LCM(47489,47496) = ( 47489 × 47496) / 1
LCM(47489,47496) = 2255537544 / 1
LCM(47489,47496) = 2255537544

Least Common Multiple (LCM) of 47489 and 47496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47489 and 47496. First we will calculate the prime factors of 47489 and 47496.

Prime Factorization of 47489

Prime Factorization of 47496

Now multiplying the highest exponent prime factors to calculate the LCM of 47489 and 47496.

LCM(47489,47496) = 13² × 281¹ × 2³ × 3¹ × 1979¹
LCM(47489,47496) = 2255537544