What is the Least Common Multiple of 80380 and 80390?

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 80380 and 80390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80380 and 80390, than apply into the LCM equation.

GCF(80380,80390) = 10
LCM(80380,80390) = ( 80380 × 80390) / 10
LCM(80380,80390) = 6461748200 / 10
LCM(80380,80390) = 646174820

Least Common Multiple (LCM) of 80380 and 80390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80380 and 80390. First we will calculate the prime factors of 80380 and 80390.

Prime Factorization of 80380

Prime Factorization of 80390

Now multiplying the highest exponent prime factors to calculate the LCM of 80380 and 80390.

LCM(80380,80390) = 2² × 5¹ × 4019¹ × 8039¹
LCM(80380,80390) = 646174820