What is the Least Common Multiple of 80352 and 80372?

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 80352 and 80372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80352 and 80372, than apply into the LCM equation.

GCF(80352,80372) = 4
LCM(80352,80372) = ( 80352 × 80372) / 4
LCM(80352,80372) = 6458050944 / 4
LCM(80352,80372) = 1614512736

Least Common Multiple (LCM) of 80352 and 80372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80352 and 80372. First we will calculate the prime factors of 80352 and 80372.

Prime Factorization of 80352

Prime Factorization of 80372

Now multiplying the highest exponent prime factors to calculate the LCM of 80352 and 80372.

LCM(80352,80372) = 2⁵ × 3⁴ × 31¹ × 71¹ × 283¹
LCM(80352,80372) = 1614512736