What is the Least Common Multiple of 84609 and 84622?

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 84609 and 84622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84609 and 84622, than apply into the LCM equation.

GCF(84609,84622) = 1
LCM(84609,84622) = ( 84609 × 84622) / 1
LCM(84609,84622) = 7159782798 / 1
LCM(84609,84622) = 7159782798

Least Common Multiple (LCM) of 84609 and 84622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84609 and 84622. First we will calculate the prime factors of 84609 and 84622.

Prime Factorization of 84609

Prime Factorization of 84622

Now multiplying the highest exponent prime factors to calculate the LCM of 84609 and 84622.

LCM(84609,84622) = 3² × 7¹ × 17¹ × 79¹ × 2¹ × 29¹ × 1459¹
LCM(84609,84622) = 7159782798