What is the Least Common Multiple of 80388 and 80405?

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 80388 and 80405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80388 and 80405, than apply into the LCM equation.

GCF(80388,80405) = 1
LCM(80388,80405) = ( 80388 × 80405) / 1
LCM(80388,80405) = 6463597140 / 1
LCM(80388,80405) = 6463597140

Least Common Multiple (LCM) of 80388 and 80405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80388 and 80405. First we will calculate the prime factors of 80388 and 80405.

Prime Factorization of 80388

Prime Factorization of 80405

Now multiplying the highest exponent prime factors to calculate the LCM of 80388 and 80405.

LCM(80388,80405) = 2² × 3² × 7¹ × 11¹ × 29¹ × 5¹ × 13¹ × 1237¹
LCM(80388,80405) = 6463597140