What is the Least Common Multiple of 20090 and 20101?

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 20090 and 20101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20090 and 20101, than apply into the LCM equation.

GCF(20090,20101) = 1
LCM(20090,20101) = ( 20090 × 20101) / 1
LCM(20090,20101) = 403829090 / 1
LCM(20090,20101) = 403829090

Least Common Multiple (LCM) of 20090 and 20101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20090 and 20101. First we will calculate the prime factors of 20090 and 20101.

Prime Factorization of 20090

Prime Factorization of 20101

Now multiplying the highest exponent prime factors to calculate the LCM of 20090 and 20101.

LCM(20090,20101) = 2¹ × 5¹ × 7² × 41¹ × 20101¹
LCM(20090,20101) = 403829090