What is the Least Common Multiple of 29013 and 29019?

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 29013 and 29019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29013 and 29019, than apply into the LCM equation.

GCF(29013,29019) = 3
LCM(29013,29019) = ( 29013 × 29019) / 3
LCM(29013,29019) = 841928247 / 3
LCM(29013,29019) = 280642749

Least Common Multiple (LCM) of 29013 and 29019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29013 and 29019. First we will calculate the prime factors of 29013 and 29019.

Prime Factorization of 29013

Prime Factorization of 29019

Now multiplying the highest exponent prime factors to calculate the LCM of 29013 and 29019.

LCM(29013,29019) = 3¹ × 19¹ × 509¹ × 17¹ × 569¹
LCM(29013,29019) = 280642749