What is the Least Common Multiple of 84426 and 84438?

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 84426 and 84438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84426 and 84438, than apply into the LCM equation.

GCF(84426,84438) = 6
LCM(84426,84438) = ( 84426 × 84438) / 6
LCM(84426,84438) = 7128762588 / 6
LCM(84426,84438) = 1188127098

Least Common Multiple (LCM) of 84426 and 84438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84426 and 84438. First we will calculate the prime factors of 84426 and 84438.

Prime Factorization of 84426

Prime Factorization of 84438

Now multiplying the highest exponent prime factors to calculate the LCM of 84426 and 84438.

LCM(84426,84438) = 2¹ × 3² × 14071¹ × 4691¹
LCM(84426,84438) = 1188127098