What is the Least Common Multiple of 60822 and 60839?

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 60822 and 60839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60822 and 60839, than apply into the LCM equation.

GCF(60822,60839) = 1
LCM(60822,60839) = ( 60822 × 60839) / 1
LCM(60822,60839) = 3700349658 / 1
LCM(60822,60839) = 3700349658

Least Common Multiple (LCM) of 60822 and 60839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60822 and 60839. First we will calculate the prime factors of 60822 and 60839.

Prime Factorization of 60822

Prime Factorization of 60839

Now multiplying the highest exponent prime factors to calculate the LCM of 60822 and 60839.

LCM(60822,60839) = 2¹ × 3² × 31¹ × 109¹ × 83¹ × 733¹
LCM(60822,60839) = 3700349658