What is the Least Common Multiple of 8013 and 8033?

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 8013 and 8033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8013 and 8033, than apply into the LCM equation.

GCF(8013,8033) = 1
LCM(8013,8033) = ( 8013 × 8033) / 1
LCM(8013,8033) = 64368429 / 1
LCM(8013,8033) = 64368429

Least Common Multiple (LCM) of 8013 and 8033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8013 and 8033. First we will calculate the prime factors of 8013 and 8033.

Prime Factorization of 8013

Prime Factorization of 8033

Now multiplying the highest exponent prime factors to calculate the LCM of 8013 and 8033.

LCM(8013,8033) = 3¹ × 2671¹ × 29¹ × 277¹
LCM(8013,8033) = 64368429