What is the Least Common Multiple of 57822 and 57835?

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 57822 and 57835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57822 and 57835, than apply into the LCM equation.

GCF(57822,57835) = 1
LCM(57822,57835) = ( 57822 × 57835) / 1
LCM(57822,57835) = 3344135370 / 1
LCM(57822,57835) = 3344135370

Least Common Multiple (LCM) of 57822 and 57835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57822 and 57835. First we will calculate the prime factors of 57822 and 57835.

Prime Factorization of 57822

Prime Factorization of 57835

Now multiplying the highest exponent prime factors to calculate the LCM of 57822 and 57835.

LCM(57822,57835) = 2¹ × 3¹ × 23¹ × 419¹ × 5¹ × 43¹ × 269¹
LCM(57822,57835) = 3344135370