What is the Least Common Multiple of 83237 and 83251?

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 83237 and 83251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83237 and 83251, than apply into the LCM equation.

GCF(83237,83251) = 7
LCM(83237,83251) = ( 83237 × 83251) / 7
LCM(83237,83251) = 6929563487 / 7
LCM(83237,83251) = 989937641

Least Common Multiple (LCM) of 83237 and 83251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83237 and 83251. First we will calculate the prime factors of 83237 and 83251.

Prime Factorization of 83237

Prime Factorization of 83251

Now multiplying the highest exponent prime factors to calculate the LCM of 83237 and 83251.

LCM(83237,83251) = 7² × 11¹ × 23¹ × 47¹ × 1699¹
LCM(83237,83251) = 989937641