What is the Least Common Multiple of 17178 and 17196?

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 17178 and 17196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17178 and 17196, than apply into the LCM equation.

GCF(17178,17196) = 6
LCM(17178,17196) = ( 17178 × 17196) / 6
LCM(17178,17196) = 295392888 / 6
LCM(17178,17196) = 49232148

Least Common Multiple (LCM) of 17178 and 17196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17178 and 17196. First we will calculate the prime factors of 17178 and 17196.

Prime Factorization of 17178

Prime Factorization of 17196

Now multiplying the highest exponent prime factors to calculate the LCM of 17178 and 17196.

LCM(17178,17196) = 2² × 3¹ × 7¹ × 409¹ × 1433¹
LCM(17178,17196) = 49232148