What is the Least Common Multiple of 40821 and 40838?

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 40821 and 40838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40821 and 40838, than apply into the LCM equation.

GCF(40821,40838) = 1
LCM(40821,40838) = ( 40821 × 40838) / 1
LCM(40821,40838) = 1667047998 / 1
LCM(40821,40838) = 1667047998

Least Common Multiple (LCM) of 40821 and 40838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40821 and 40838. First we will calculate the prime factors of 40821 and 40838.

Prime Factorization of 40821

Prime Factorization of 40838

Now multiplying the highest exponent prime factors to calculate the LCM of 40821 and 40838.

LCM(40821,40838) = 3¹ × 11¹ × 1237¹ × 2¹ × 7¹ × 2917¹
LCM(40821,40838) = 1667047998