What is the Least Common Multiple of 59409 and 59421?

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 59409 and 59421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59409 and 59421, than apply into the LCM equation.

GCF(59409,59421) = 3
LCM(59409,59421) = ( 59409 × 59421) / 3
LCM(59409,59421) = 3530142189 / 3
LCM(59409,59421) = 1176714063

Least Common Multiple (LCM) of 59409 and 59421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59409 and 59421. First we will calculate the prime factors of 59409 and 59421.

Prime Factorization of 59409

Prime Factorization of 59421

Now multiplying the highest exponent prime factors to calculate the LCM of 59409 and 59421.

LCM(59409,59421) = 3² × 7¹ × 23¹ × 41¹ × 29¹ × 683¹
LCM(59409,59421) = 1176714063