What is the Least Common Multiple of 48309 and 48315?

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 48309 and 48315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48309 and 48315, than apply into the LCM equation.

GCF(48309,48315) = 3
LCM(48309,48315) = ( 48309 × 48315) / 3
LCM(48309,48315) = 2334049335 / 3
LCM(48309,48315) = 778016445

Least Common Multiple (LCM) of 48309 and 48315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48309 and 48315. First we will calculate the prime factors of 48309 and 48315.

Prime Factorization of 48309

Prime Factorization of 48315

Now multiplying the highest exponent prime factors to calculate the LCM of 48309 and 48315.

LCM(48309,48315) = 3¹ × 16103¹ × 5¹ × 3221¹
LCM(48309,48315) = 778016445