What is the Least Common Multiple of 20126 and 20141?

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 20126 and 20141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20126 and 20141, than apply into the LCM equation.

GCF(20126,20141) = 1
LCM(20126,20141) = ( 20126 × 20141) / 1
LCM(20126,20141) = 405357766 / 1
LCM(20126,20141) = 405357766

Least Common Multiple (LCM) of 20126 and 20141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20126 and 20141. First we will calculate the prime factors of 20126 and 20141.

Prime Factorization of 20126

Prime Factorization of 20141

Now multiplying the highest exponent prime factors to calculate the LCM of 20126 and 20141.

LCM(20126,20141) = 2¹ × 29¹ × 347¹ × 11¹ × 1831¹
LCM(20126,20141) = 405357766