What is the Least Common Multiple of 80272 and 80284?

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 80272 and 80284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80272 and 80284, than apply into the LCM equation.

GCF(80272,80284) = 4
LCM(80272,80284) = ( 80272 × 80284) / 4
LCM(80272,80284) = 6444557248 / 4
LCM(80272,80284) = 1611139312

Least Common Multiple (LCM) of 80272 and 80284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80272 and 80284. First we will calculate the prime factors of 80272 and 80284.

Prime Factorization of 80272

Prime Factorization of 80284

Now multiplying the highest exponent prime factors to calculate the LCM of 80272 and 80284.

LCM(80272,80284) = 2⁴ × 29¹ × 173¹ × 20071¹
LCM(80272,80284) = 1611139312