What is the Least Common Multiple of 82946 and 82958?

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 82946 and 82958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82946 and 82958, than apply into the LCM equation.

GCF(82946,82958) = 2
LCM(82946,82958) = ( 82946 × 82958) / 2
LCM(82946,82958) = 6881034268 / 2
LCM(82946,82958) = 3440517134

Least Common Multiple (LCM) of 82946 and 82958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82946 and 82958. First we will calculate the prime factors of 82946 and 82958.

Prime Factorization of 82946

Prime Factorization of 82958

Now multiplying the highest exponent prime factors to calculate the LCM of 82946 and 82958.

LCM(82946,82958) = 2¹ × 67¹ × 619¹ × 41479¹
LCM(82946,82958) = 3440517134