What is the Least Common Multiple of 20039 and 20051?

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 20039 and 20051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20039 and 20051, than apply into the LCM equation.

GCF(20039,20051) = 1
LCM(20039,20051) = ( 20039 × 20051) / 1
LCM(20039,20051) = 401801989 / 1
LCM(20039,20051) = 401801989

Least Common Multiple (LCM) of 20039 and 20051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20039 and 20051. First we will calculate the prime factors of 20039 and 20051.

Prime Factorization of 20039

Prime Factorization of 20051

Now multiplying the highest exponent prime factors to calculate the LCM of 20039 and 20051.

LCM(20039,20051) = 29¹ × 691¹ × 20051¹
LCM(20039,20051) = 401801989