What is the Least Common Multiple of 40941 and 40949?

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 40941 and 40949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40941 and 40949, than apply into the LCM equation.

GCF(40941,40949) = 1
LCM(40941,40949) = ( 40941 × 40949) / 1
LCM(40941,40949) = 1676493009 / 1
LCM(40941,40949) = 1676493009

Least Common Multiple (LCM) of 40941 and 40949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40941 and 40949. First we will calculate the prime factors of 40941 and 40949.

Prime Factorization of 40941

Prime Factorization of 40949

Now multiplying the highest exponent prime factors to calculate the LCM of 40941 and 40949.

LCM(40941,40949) = 3² × 4549¹ × 40949¹
LCM(40941,40949) = 1676493009