What is the Least Common Multiple of 48380 and 48387?

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 48380 and 48387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48380 and 48387, than apply into the LCM equation.

GCF(48380,48387) = 1
LCM(48380,48387) = ( 48380 × 48387) / 1
LCM(48380,48387) = 2340963060 / 1
LCM(48380,48387) = 2340963060

Least Common Multiple (LCM) of 48380 and 48387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48380 and 48387. First we will calculate the prime factors of 48380 and 48387.

Prime Factorization of 48380

Prime Factorization of 48387

Now multiplying the highest exponent prime factors to calculate the LCM of 48380 and 48387.

LCM(48380,48387) = 2² × 5¹ × 41¹ × 59¹ × 3¹ × 127²
LCM(48380,48387) = 2340963060