What is the Least Common Multiple of 8380 and 8387?

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 8380 and 8387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8380 and 8387, than apply into the LCM equation.

GCF(8380,8387) = 1
LCM(8380,8387) = ( 8380 × 8387) / 1
LCM(8380,8387) = 70283060 / 1
LCM(8380,8387) = 70283060

Least Common Multiple (LCM) of 8380 and 8387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8380 and 8387. First we will calculate the prime factors of 8380 and 8387.

Prime Factorization of 8380

Prime Factorization of 8387

Now multiplying the highest exponent prime factors to calculate the LCM of 8380 and 8387.

LCM(8380,8387) = 2² × 5¹ × 419¹ × 8387¹
LCM(8380,8387) = 70283060