What is the Least Common Multiple of 60409 and 60421?

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 60409 and 60421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60409 and 60421, than apply into the LCM equation.

GCF(60409,60421) = 1
LCM(60409,60421) = ( 60409 × 60421) / 1
LCM(60409,60421) = 3649972189 / 1
LCM(60409,60421) = 3649972189

Least Common Multiple (LCM) of 60409 and 60421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60409 and 60421. First we will calculate the prime factors of 60409 and 60421.

Prime Factorization of 60409

Prime Factorization of 60421

Now multiplying the highest exponent prime factors to calculate the LCM of 60409 and 60421.

LCM(60409,60421) = 193¹ × 313¹ × 23¹ × 37¹ × 71¹
LCM(60409,60421) = 3649972189