What is the Least Common Multiple of 40894 and 40902?

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 40894 and 40902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40894 and 40902, than apply into the LCM equation.

GCF(40894,40902) = 2
LCM(40894,40902) = ( 40894 × 40902) / 2
LCM(40894,40902) = 1672646388 / 2
LCM(40894,40902) = 836323194

Least Common Multiple (LCM) of 40894 and 40902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40894 and 40902. First we will calculate the prime factors of 40894 and 40902.

Prime Factorization of 40894

Prime Factorization of 40902

Now multiplying the highest exponent prime factors to calculate the LCM of 40894 and 40902.

LCM(40894,40902) = 2¹ × 7¹ × 23¹ × 127¹ × 3¹ × 17¹ × 401¹
LCM(40894,40902) = 836323194