What is the Least Common Multiple of 40802 and 40822?

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 40802 and 40822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40802 and 40822, than apply into the LCM equation.

GCF(40802,40822) = 2
LCM(40802,40822) = ( 40802 × 40822) / 2
LCM(40802,40822) = 1665619244 / 2
LCM(40802,40822) = 832809622

Least Common Multiple (LCM) of 40802 and 40822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40802 and 40822. First we will calculate the prime factors of 40802 and 40822.

Prime Factorization of 40802

Prime Factorization of 40822

Now multiplying the highest exponent prime factors to calculate the LCM of 40802 and 40822.

LCM(40802,40822) = 2¹ × 23¹ × 887¹ × 20411¹
LCM(40802,40822) = 832809622