What is the Least Common Multiple of 20196 and 20202?

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 20202 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 20202, than apply into the LCM equation.

GCF(20196,20202) = 6
LCM(20196,20202) = ( 20196 × 20202) / 6
LCM(20196,20202) = 407999592 / 6
LCM(20196,20202) = 67999932

Least Common Multiple (LCM) of 20196 and 20202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20196 and 20202. First we will calculate the prime factors of 20196 and 20202.

Prime Factorization of 20196

Prime Factorization of 20202

Now multiplying the highest exponent prime factors to calculate the LCM of 20196 and 20202.

LCM(20196,20202) = 2² × 3³ × 11¹ × 17¹ × 7¹ × 13¹ × 37¹
LCM(20196,20202) = 67999932