What is the Least Common Multiple of 48330 and 48349?

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 48330 and 48349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48330 and 48349, than apply into the LCM equation.

GCF(48330,48349) = 1
LCM(48330,48349) = ( 48330 × 48349) / 1
LCM(48330,48349) = 2336707170 / 1
LCM(48330,48349) = 2336707170

Least Common Multiple (LCM) of 48330 and 48349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48330 and 48349. First we will calculate the prime factors of 48330 and 48349.

Prime Factorization of 48330

Prime Factorization of 48349

Now multiplying the highest exponent prime factors to calculate the LCM of 48330 and 48349.

LCM(48330,48349) = 2¹ × 3³ × 5¹ × 179¹ × 7¹ × 6907¹
LCM(48330,48349) = 2336707170