What is the Least Common Multiple of 84336 and 84342?

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 84336 and 84342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84336 and 84342, than apply into the LCM equation.

GCF(84336,84342) = 6
LCM(84336,84342) = ( 84336 × 84342) / 6
LCM(84336,84342) = 7113066912 / 6
LCM(84336,84342) = 1185511152

Least Common Multiple (LCM) of 84336 and 84342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84336 and 84342. First we will calculate the prime factors of 84336 and 84342.

Prime Factorization of 84336

Prime Factorization of 84342

Now multiplying the highest exponent prime factors to calculate the LCM of 84336 and 84342.

LCM(84336,84342) = 2⁴ × 3¹ × 7¹ × 251¹ × 14057¹
LCM(84336,84342) = 1185511152