What is the Least Common Multiple of 84435 and 84445?

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 84435 and 84445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84435 and 84445, than apply into the LCM equation.

GCF(84435,84445) = 5
LCM(84435,84445) = ( 84435 × 84445) / 5
LCM(84435,84445) = 7130113575 / 5
LCM(84435,84445) = 1426022715

Least Common Multiple (LCM) of 84435 and 84445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84435 and 84445. First we will calculate the prime factors of 84435 and 84445.

Prime Factorization of 84435

Prime Factorization of 84445

Now multiplying the highest exponent prime factors to calculate the LCM of 84435 and 84445.

LCM(84435,84445) = 3¹ × 5¹ × 13¹ × 433¹ × 16889¹
LCM(84435,84445) = 1426022715