What is the Least Common Multiple of 82192 and 82198?

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 82192 and 82198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82192 and 82198, than apply into the LCM equation.

GCF(82192,82198) = 2
LCM(82192,82198) = ( 82192 × 82198) / 2
LCM(82192,82198) = 6756018016 / 2
LCM(82192,82198) = 3378009008

Least Common Multiple (LCM) of 82192 and 82198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82192 and 82198. First we will calculate the prime factors of 82192 and 82198.

Prime Factorization of 82192

Prime Factorization of 82198

Now multiplying the highest exponent prime factors to calculate the LCM of 82192 and 82198.

LCM(82192,82198) = 2⁴ × 11¹ × 467¹ × 73¹ × 563¹
LCM(82192,82198) = 3378009008