What is the Least Common Multiple of 28993 and 29013?

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 28993 and 29013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28993 and 29013, than apply into the LCM equation.

GCF(28993,29013) = 1
LCM(28993,29013) = ( 28993 × 29013) / 1
LCM(28993,29013) = 841173909 / 1
LCM(28993,29013) = 841173909

Least Common Multiple (LCM) of 28993 and 29013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28993 and 29013. First we will calculate the prime factors of 28993 and 29013.

Prime Factorization of 28993

Prime Factorization of 29013

Now multiplying the highest exponent prime factors to calculate the LCM of 28993 and 29013.

LCM(28993,29013) = 79¹ × 367¹ × 3¹ × 19¹ × 509¹
LCM(28993,29013) = 841173909