What is the Least Common Multiple of 80349 and 80364?

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 80349 and 80364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80349 and 80364, than apply into the LCM equation.

GCF(80349,80364) = 3
LCM(80349,80364) = ( 80349 × 80364) / 3
LCM(80349,80364) = 6457167036 / 3
LCM(80349,80364) = 2152389012

Least Common Multiple (LCM) of 80349 and 80364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80349 and 80364. First we will calculate the prime factors of 80349 and 80364.

Prime Factorization of 80349

Prime Factorization of 80364

Now multiplying the highest exponent prime factors to calculate the LCM of 80349 and 80364.

LCM(80349,80364) = 3¹ × 26783¹ × 2² × 37¹ × 181¹
LCM(80349,80364) = 2152389012