What is the Least Common Multiple of 83674 and 83689?

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 83674 and 83689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83674 and 83689, than apply into the LCM equation.

GCF(83674,83689) = 1
LCM(83674,83689) = ( 83674 × 83689) / 1
LCM(83674,83689) = 7002593386 / 1
LCM(83674,83689) = 7002593386

Least Common Multiple (LCM) of 83674 and 83689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83674 and 83689. First we will calculate the prime factors of 83674 and 83689.

Prime Factorization of 83674

Prime Factorization of 83689

Now multiplying the highest exponent prime factors to calculate the LCM of 83674 and 83689.

LCM(83674,83689) = 2¹ × 17¹ × 23¹ × 107¹ × 83689¹
LCM(83674,83689) = 7002593386