What is the Least Common Multiple of 57822 and 57834?

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 57834 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 57834, than apply into the LCM equation.

GCF(57822,57834) = 6
LCM(57822,57834) = ( 57822 × 57834) / 6
LCM(57822,57834) = 3344077548 / 6
LCM(57822,57834) = 557346258

Least Common Multiple (LCM) of 57822 and 57834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57822 and 57834. First we will calculate the prime factors of 57822 and 57834.

Prime Factorization of 57822

Prime Factorization of 57834

Now multiplying the highest exponent prime factors to calculate the LCM of 57822 and 57834.

LCM(57822,57834) = 2¹ × 3⁵ × 23¹ × 419¹ × 7¹ × 17¹
LCM(57822,57834) = 557346258