What is the Least Common Multiple of 84272 and 84280?

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 84272 and 84280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84272 and 84280, than apply into the LCM equation.

GCF(84272,84280) = 8
LCM(84272,84280) = ( 84272 × 84280) / 8
LCM(84272,84280) = 7102444160 / 8
LCM(84272,84280) = 887805520

Least Common Multiple (LCM) of 84272 and 84280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84272 and 84280. First we will calculate the prime factors of 84272 and 84280.

Prime Factorization of 84272

Prime Factorization of 84280

Now multiplying the highest exponent prime factors to calculate the LCM of 84272 and 84280.

LCM(84272,84280) = 2⁴ × 23¹ × 229¹ × 5¹ × 7² × 43¹
LCM(84272,84280) = 887805520