What is the Least Common Multiple of 20109 and 20126?

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 20109 and 20126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20109 and 20126, than apply into the LCM equation.

GCF(20109,20126) = 1
LCM(20109,20126) = ( 20109 × 20126) / 1
LCM(20109,20126) = 404713734 / 1
LCM(20109,20126) = 404713734

Least Common Multiple (LCM) of 20109 and 20126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20109 and 20126. First we will calculate the prime factors of 20109 and 20126.

Prime Factorization of 20109

Prime Factorization of 20126

Now multiplying the highest exponent prime factors to calculate the LCM of 20109 and 20126.

LCM(20109,20126) = 3¹ × 6703¹ × 2¹ × 29¹ × 347¹
LCM(20109,20126) = 404713734