What is the Least Common Multiple of 84694 and 84713?

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 84694 and 84713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84694 and 84713, than apply into the LCM equation.

GCF(84694,84713) = 1
LCM(84694,84713) = ( 84694 × 84713) / 1
LCM(84694,84713) = 7174682822 / 1
LCM(84694,84713) = 7174682822

Least Common Multiple (LCM) of 84694 and 84713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84694 and 84713. First we will calculate the prime factors of 84694 and 84713.

Prime Factorization of 84694

Prime Factorization of 84713

Now multiplying the highest exponent prime factors to calculate the LCM of 84694 and 84713.

LCM(84694,84713) = 2¹ × 17¹ × 47¹ × 53¹ × 84713¹
LCM(84694,84713) = 7174682822