What is the Least Common Multiple of 15029 and 15041?

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 15029 and 15041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15029 and 15041, than apply into the LCM equation.

GCF(15029,15041) = 1
LCM(15029,15041) = ( 15029 × 15041) / 1
LCM(15029,15041) = 226051189 / 1
LCM(15029,15041) = 226051189

Least Common Multiple (LCM) of 15029 and 15041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15029 and 15041. First we will calculate the prime factors of 15029 and 15041.

Prime Factorization of 15029

Prime Factorization of 15041

Now multiplying the highest exponent prime factors to calculate the LCM of 15029 and 15041.

LCM(15029,15041) = 7¹ × 19¹ × 113¹ × 13² × 89¹
LCM(15029,15041) = 226051189