What is the Least Common Multiple of 48345 and 48358?

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 48345 and 48358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48345 and 48358, than apply into the LCM equation.

GCF(48345,48358) = 1
LCM(48345,48358) = ( 48345 × 48358) / 1
LCM(48345,48358) = 2337867510 / 1
LCM(48345,48358) = 2337867510

Least Common Multiple (LCM) of 48345 and 48358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48345 and 48358. First we will calculate the prime factors of 48345 and 48358.

Prime Factorization of 48345

Prime Factorization of 48358

Now multiplying the highest exponent prime factors to calculate the LCM of 48345 and 48358.

LCM(48345,48358) = 3¹ × 5¹ × 11¹ × 293¹ × 2¹ × 24179¹
LCM(48345,48358) = 2337867510