What is the Least Common Multiple of 20132 and 20146?

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 20132 and 20146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20132 and 20146, than apply into the LCM equation.

GCF(20132,20146) = 14
LCM(20132,20146) = ( 20132 × 20146) / 14
LCM(20132,20146) = 405579272 / 14
LCM(20132,20146) = 28969948

Least Common Multiple (LCM) of 20132 and 20146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20132 and 20146. First we will calculate the prime factors of 20132 and 20146.

Prime Factorization of 20132

Prime Factorization of 20146

Now multiplying the highest exponent prime factors to calculate the LCM of 20132 and 20146.

LCM(20132,20146) = 2² × 7¹ × 719¹ × 1439¹
LCM(20132,20146) = 28969948