What is the Least Common Multiple of 80344 and 80352?

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 80352 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 80352, than apply into the LCM equation.

GCF(80344,80352) = 8
LCM(80344,80352) = ( 80344 × 80352) / 8
LCM(80344,80352) = 6455801088 / 8
LCM(80344,80352) = 806975136

Least Common Multiple (LCM) of 80344 and 80352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80344 and 80352. First we will calculate the prime factors of 80344 and 80352.

Prime Factorization of 80344

Prime Factorization of 80352

Now multiplying the highest exponent prime factors to calculate the LCM of 80344 and 80352.

LCM(80344,80352) = 2⁵ × 11² × 83¹ × 3⁴ × 31¹
LCM(80344,80352) = 806975136