What is the Least Common Multiple of 85822 and 85829?

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 85822 and 85829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85822 and 85829, than apply into the LCM equation.

GCF(85822,85829) = 1
LCM(85822,85829) = ( 85822 × 85829) / 1
LCM(85822,85829) = 7366016438 / 1
LCM(85822,85829) = 7366016438

Least Common Multiple (LCM) of 85822 and 85829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85822 and 85829. First we will calculate the prime factors of 85822 and 85829.

Prime Factorization of 85822

Prime Factorization of 85829

Now multiplying the highest exponent prime factors to calculate the LCM of 85822 and 85829.

LCM(85822,85829) = 2¹ × 11¹ × 47¹ × 83¹ × 85829¹
LCM(85822,85829) = 7366016438