What is the Least Common Multiple of 83153 and 83173?

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 83153 and 83173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83153 and 83173, than apply into the LCM equation.

GCF(83153,83173) = 1
LCM(83153,83173) = ( 83153 × 83173) / 1
LCM(83153,83173) = 6916084469 / 1
LCM(83153,83173) = 6916084469

Least Common Multiple (LCM) of 83153 and 83173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83153 and 83173. First we will calculate the prime factors of 83153 and 83173.

Prime Factorization of 83153

Prime Factorization of 83173

Now multiplying the highest exponent prime factors to calculate the LCM of 83153 and 83173.

LCM(83153,83173) = 7² × 1697¹ × 31¹ × 2683¹
LCM(83153,83173) = 6916084469