What is the Least Common Multiple of 84296 and 84307?

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 84296 and 84307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84296 and 84307, than apply into the LCM equation.

GCF(84296,84307) = 1
LCM(84296,84307) = ( 84296 × 84307) / 1
LCM(84296,84307) = 7106742872 / 1
LCM(84296,84307) = 7106742872

Least Common Multiple (LCM) of 84296 and 84307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84296 and 84307. First we will calculate the prime factors of 84296 and 84307.

Prime Factorization of 84296

Prime Factorization of 84307

Now multiplying the highest exponent prime factors to calculate the LCM of 84296 and 84307.

LCM(84296,84307) = 2³ × 41¹ × 257¹ × 84307¹
LCM(84296,84307) = 7106742872