What is the Least Common Multiple of 40049 and 40069?

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 40049 and 40069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40049 and 40069, than apply into the LCM equation.

GCF(40049,40069) = 1
LCM(40049,40069) = ( 40049 × 40069) / 1
LCM(40049,40069) = 1604723381 / 1
LCM(40049,40069) = 1604723381

Least Common Multiple (LCM) of 40049 and 40069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40049 and 40069. First we will calculate the prime factors of 40049 and 40069.

Prime Factorization of 40049

Prime Factorization of 40069

Now multiplying the highest exponent prime factors to calculate the LCM of 40049 and 40069.

LCM(40049,40069) = 29¹ × 1381¹ × 17¹ × 2357¹
LCM(40049,40069) = 1604723381