What is the Least Common Multiple of 82178 and 82196?

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 82178 and 82196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82178 and 82196, than apply into the LCM equation.

GCF(82178,82196) = 2
LCM(82178,82196) = ( 82178 × 82196) / 2
LCM(82178,82196) = 6754702888 / 2
LCM(82178,82196) = 3377351444

Least Common Multiple (LCM) of 82178 and 82196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82178 and 82196. First we will calculate the prime factors of 82178 and 82196.

Prime Factorization of 82178

Prime Factorization of 82196

Now multiplying the highest exponent prime factors to calculate the LCM of 82178 and 82196.

LCM(82178,82196) = 2² × 17¹ × 2417¹ × 20549¹
LCM(82178,82196) = 3377351444