What is the Least Common Multiple of 12013 and 12033?

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 12013 and 12033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12013 and 12033, than apply into the LCM equation.

GCF(12013,12033) = 1
LCM(12013,12033) = ( 12013 × 12033) / 1
LCM(12013,12033) = 144552429 / 1
LCM(12013,12033) = 144552429

Least Common Multiple (LCM) of 12013 and 12033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12013 and 12033. First we will calculate the prime factors of 12013 and 12033.

Prime Factorization of 12013

Prime Factorization of 12033

Now multiplying the highest exponent prime factors to calculate the LCM of 12013 and 12033.

LCM(12013,12033) = 41¹ × 293¹ × 3² × 7¹ × 191¹
LCM(12013,12033) = 144552429