What is the Least Common Multiple of 10013 and 10033?

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 10013 and 10033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10013 and 10033, than apply into the LCM equation.

GCF(10013,10033) = 1
LCM(10013,10033) = ( 10013 × 10033) / 1
LCM(10013,10033) = 100460429 / 1
LCM(10013,10033) = 100460429

Least Common Multiple (LCM) of 10013 and 10033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10013 and 10033. First we will calculate the prime factors of 10013 and 10033.

Prime Factorization of 10013

Prime Factorization of 10033

Now multiplying the highest exponent prime factors to calculate the LCM of 10013 and 10033.

LCM(10013,10033) = 17¹ × 19¹ × 31¹ × 79¹ × 127¹
LCM(10013,10033) = 100460429