GCF and LCM Calculator Logo

What is the Least Common Multiple of 40862 and 40882?

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 (LCM) of 40862 and 40882 is 835260142.

LCM(40862,40882) = 835260142

LCM Calculator and
and

Least Common Multiple of 40862 and 40882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40862 and 40882, than apply into the LCM equation.

GCF(40862,40882) = 2
LCM(40862,40882) = ( 40862 × 40882) / 2
LCM(40862,40882) = 1670520284 / 2
LCM(40862,40882) = 835260142

Least Common Multiple (LCM) of 40862 and 40882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40862 and 40882. First we will calculate the prime factors of 40862 and 40882.

Prime Factorization of 40862

Prime factors of 40862 are 2, 20431. Prime factorization of 40862 in exponential form is:

40862 = 21 × 204311

Prime Factorization of 40882

Prime factors of 40882 are 2, 20441. Prime factorization of 40882 in exponential form is:

40882 = 21 × 204411

Now multiplying the highest exponent prime factors to calculate the LCM of 40862 and 40882.

LCM(40862,40882) = 21 × 204311 × 204411
LCM(40862,40882) = 835260142