What is the Least Common Multiple of 81196 and 81208?

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 81196 and 81208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81196 and 81208, than apply into the LCM equation.

GCF(81196,81208) = 4
LCM(81196,81208) = ( 81196 × 81208) / 4
LCM(81196,81208) = 6593764768 / 4
LCM(81196,81208) = 1648441192

Least Common Multiple (LCM) of 81196 and 81208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81196 and 81208. First we will calculate the prime factors of 81196 and 81208.

Prime Factorization of 81196

Prime Factorization of 81208

Now multiplying the highest exponent prime factors to calculate the LCM of 81196 and 81208.

LCM(81196,81208) = 2³ × 53¹ × 383¹ × 10151¹
LCM(81196,81208) = 1648441192