What is the Least Common Multiple of 40194 and 40208?

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 40194 and 40208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40194 and 40208, than apply into the LCM equation.

GCF(40194,40208) = 14
LCM(40194,40208) = ( 40194 × 40208) / 14
LCM(40194,40208) = 1616120352 / 14
LCM(40194,40208) = 115437168

Least Common Multiple (LCM) of 40194 and 40208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40194 and 40208. First we will calculate the prime factors of 40194 and 40208.

Prime Factorization of 40194

Prime Factorization of 40208

Now multiplying the highest exponent prime factors to calculate the LCM of 40194 and 40208.

LCM(40194,40208) = 2⁴ × 3² × 7¹ × 11¹ × 29¹ × 359¹
LCM(40194,40208) = 115437168