What is the Least Common Multiple of 42822 and 42840?

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 42840 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 42840, than apply into the LCM equation.

GCF(42822,42840) = 18
LCM(42822,42840) = ( 42822 × 42840) / 18
LCM(42822,42840) = 1834494480 / 18
LCM(42822,42840) = 101916360

Least Common Multiple (LCM) of 42822 and 42840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42822 and 42840. First we will calculate the prime factors of 42822 and 42840.

Prime Factorization of 42822

Prime Factorization of 42840

Now multiplying the highest exponent prime factors to calculate the LCM of 42822 and 42840.

LCM(42822,42840) = 2³ × 3³ × 13¹ × 61¹ × 5¹ × 7¹ × 17¹
LCM(42822,42840) = 101916360