What is the Least Common Multiple of 84670 and 84678?

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 84670 and 84678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84670 and 84678, than apply into the LCM equation.

GCF(84670,84678) = 2
LCM(84670,84678) = ( 84670 × 84678) / 2
LCM(84670,84678) = 7169686260 / 2
LCM(84670,84678) = 3584843130

Least Common Multiple (LCM) of 84670 and 84678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84670 and 84678. First we will calculate the prime factors of 84670 and 84678.

Prime Factorization of 84670

Prime Factorization of 84678

Now multiplying the highest exponent prime factors to calculate the LCM of 84670 and 84678.

LCM(84670,84678) = 2¹ × 5¹ × 8467¹ × 3¹ × 11¹ × 1283¹
LCM(84670,84678) = 3584843130