What is the Least Common Multiple of 82198 and 82208?

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 82198 and 82208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82198 and 82208, than apply into the LCM equation.

GCF(82198,82208) = 2
LCM(82198,82208) = ( 82198 × 82208) / 2
LCM(82198,82208) = 6757333184 / 2
LCM(82198,82208) = 3378666592

Least Common Multiple (LCM) of 82198 and 82208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82198 and 82208. First we will calculate the prime factors of 82198 and 82208.

Prime Factorization of 82198

Prime Factorization of 82208

Now multiplying the highest exponent prime factors to calculate the LCM of 82198 and 82208.

LCM(82198,82208) = 2⁵ × 73¹ × 563¹ × 7¹ × 367¹
LCM(82198,82208) = 3378666592