What is the Least Common Multiple of 84280 and 84290?

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 84280 and 84290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84280 and 84290, than apply into the LCM equation.

GCF(84280,84290) = 10
LCM(84280,84290) = ( 84280 × 84290) / 10
LCM(84280,84290) = 7103961200 / 10
LCM(84280,84290) = 710396120

Least Common Multiple (LCM) of 84280 and 84290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84280 and 84290. First we will calculate the prime factors of 84280 and 84290.

Prime Factorization of 84280

Prime Factorization of 84290

Now multiplying the highest exponent prime factors to calculate the LCM of 84280 and 84290.

LCM(84280,84290) = 2³ × 5¹ × 7² × 43¹ × 8429¹
LCM(84280,84290) = 710396120