What is the Least Common Multiple of 80344 and 80362?

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 80344 and 80362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80344 and 80362, than apply into the LCM equation.

GCF(80344,80362) = 2
LCM(80344,80362) = ( 80344 × 80362) / 2
LCM(80344,80362) = 6456604528 / 2
LCM(80344,80362) = 3228302264

Least Common Multiple (LCM) of 80344 and 80362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80344 and 80362. First we will calculate the prime factors of 80344 and 80362.

Prime Factorization of 80344

Prime Factorization of 80362

Now multiplying the highest exponent prime factors to calculate the LCM of 80344 and 80362.

LCM(80344,80362) = 2³ × 11² × 83¹ × 23¹ × 1747¹
LCM(80344,80362) = 3228302264