What is the Least Common Multiple of 83144 and 83157?

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 83144 and 83157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83144 and 83157, than apply into the LCM equation.

GCF(83144,83157) = 1
LCM(83144,83157) = ( 83144 × 83157) / 1
LCM(83144,83157) = 6914005608 / 1
LCM(83144,83157) = 6914005608

Least Common Multiple (LCM) of 83144 and 83157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83144 and 83157. First we will calculate the prime factors of 83144 and 83157.

Prime Factorization of 83144

Prime Factorization of 83157

Now multiplying the highest exponent prime factors to calculate the LCM of 83144 and 83157.

LCM(83144,83157) = 2³ × 19¹ × 547¹ × 3¹ × 53¹ × 523¹
LCM(83144,83157) = 6914005608