What is the Least Common Multiple of 47349 and 47360?

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 47349 and 47360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47349 and 47360, than apply into the LCM equation.

GCF(47349,47360) = 1
LCM(47349,47360) = ( 47349 × 47360) / 1
LCM(47349,47360) = 2242448640 / 1
LCM(47349,47360) = 2242448640

Least Common Multiple (LCM) of 47349 and 47360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47349 and 47360. First we will calculate the prime factors of 47349 and 47360.

Prime Factorization of 47349

Prime Factorization of 47360

Now multiplying the highest exponent prime factors to calculate the LCM of 47349 and 47360.

LCM(47349,47360) = 3² × 5261¹ × 2⁸ × 5¹ × 37¹
LCM(47349,47360) = 2242448640