What is the Least Common Multiple of 20013 and 20033?

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 20013 and 20033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20013 and 20033, than apply into the LCM equation.

GCF(20013,20033) = 1
LCM(20013,20033) = ( 20013 × 20033) / 1
LCM(20013,20033) = 400920429 / 1
LCM(20013,20033) = 400920429

Least Common Multiple (LCM) of 20013 and 20033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20013 and 20033. First we will calculate the prime factors of 20013 and 20033.

Prime Factorization of 20013

Prime Factorization of 20033

Now multiplying the highest exponent prime factors to calculate the LCM of 20013 and 20033.

LCM(20013,20033) = 3¹ × 7¹ × 953¹ × 13¹ × 23¹ × 67¹
LCM(20013,20033) = 400920429