What is the Least Common Multiple of 84336 and 84352?

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 84352 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 84352, than apply into the LCM equation.

GCF(84336,84352) = 16
LCM(84336,84352) = ( 84336 × 84352) / 16
LCM(84336,84352) = 7113910272 / 16
LCM(84336,84352) = 444619392

Least Common Multiple (LCM) of 84336 and 84352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84336 and 84352. First we will calculate the prime factors of 84336 and 84352.

Prime Factorization of 84336

Prime Factorization of 84352

Now multiplying the highest exponent prime factors to calculate the LCM of 84336 and 84352.

LCM(84336,84352) = 2⁷ × 3¹ × 7¹ × 251¹ × 659¹
LCM(84336,84352) = 444619392