What is the Least Common Multiple of 47598 and 47617?

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 47598 and 47617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47598 and 47617, than apply into the LCM equation.

GCF(47598,47617) = 1
LCM(47598,47617) = ( 47598 × 47617) / 1
LCM(47598,47617) = 2266473966 / 1
LCM(47598,47617) = 2266473966

Least Common Multiple (LCM) of 47598 and 47617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47598 and 47617. First we will calculate the prime factors of 47598 and 47617.

Prime Factorization of 47598

Prime Factorization of 47617

Now multiplying the highest exponent prime factors to calculate the LCM of 47598 and 47617.

LCM(47598,47617) = 2¹ × 3¹ × 7933¹ × 17¹ × 2801¹
LCM(47598,47617) = 2266473966