What is the Least Common Multiple of 42822 and 42838?

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 42822 and 42838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42822 and 42838, than apply into the LCM equation.

GCF(42822,42838) = 2
LCM(42822,42838) = ( 42822 × 42838) / 2
LCM(42822,42838) = 1834408836 / 2
LCM(42822,42838) = 917204418

Least Common Multiple (LCM) of 42822 and 42838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42822 and 42838. First we will calculate the prime factors of 42822 and 42838.

Prime Factorization of 42822

Prime Factorization of 42838

Now multiplying the highest exponent prime factors to calculate the LCM of 42822 and 42838.

LCM(42822,42838) = 2¹ × 3³ × 13¹ × 61¹ × 21419¹
LCM(42822,42838) = 917204418