What is the Least Common Multiple of 80380 and 80385?

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 80385 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 80385, than apply into the LCM equation.

GCF(80380,80385) = 5
LCM(80380,80385) = ( 80380 × 80385) / 5
LCM(80380,80385) = 6461346300 / 5
LCM(80380,80385) = 1292269260

Least Common Multiple (LCM) of 80380 and 80385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80380 and 80385. First we will calculate the prime factors of 80380 and 80385.

Prime Factorization of 80380

Prime Factorization of 80385

Now multiplying the highest exponent prime factors to calculate the LCM of 80380 and 80385.

LCM(80380,80385) = 2² × 5¹ × 4019¹ × 3¹ × 23¹ × 233¹
LCM(80380,80385) = 1292269260