What is the Least Common Multiple of 20196 and 20208?

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 20196 and 20208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20196 and 20208, than apply into the LCM equation.

GCF(20196,20208) = 12
LCM(20196,20208) = ( 20196 × 20208) / 12
LCM(20196,20208) = 408120768 / 12
LCM(20196,20208) = 34010064

Least Common Multiple (LCM) of 20196 and 20208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20196 and 20208. First we will calculate the prime factors of 20196 and 20208.

Prime Factorization of 20196

Prime Factorization of 20208

Now multiplying the highest exponent prime factors to calculate the LCM of 20196 and 20208.

LCM(20196,20208) = 2⁴ × 3³ × 11¹ × 17¹ × 421¹
LCM(20196,20208) = 34010064