What is the Least Common Multiple of 88946 and 88958?

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 88946 and 88958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88946 and 88958, than apply into the LCM equation.

GCF(88946,88958) = 2
LCM(88946,88958) = ( 88946 × 88958) / 2
LCM(88946,88958) = 7912458268 / 2
LCM(88946,88958) = 3956229134

Least Common Multiple (LCM) of 88946 and 88958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88946 and 88958. First we will calculate the prime factors of 88946 and 88958.

Prime Factorization of 88946

Prime Factorization of 88958

Now multiplying the highest exponent prime factors to calculate the LCM of 88946 and 88958.

LCM(88946,88958) = 2¹ × 11¹ × 13¹ × 311¹ × 19¹ × 2341¹
LCM(88946,88958) = 3956229134