What is the Least Common Multiple of 5409 and 5421?

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 5409 and 5421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5409 and 5421, than apply into the LCM equation.

GCF(5409,5421) = 3
LCM(5409,5421) = ( 5409 × 5421) / 3
LCM(5409,5421) = 29322189 / 3
LCM(5409,5421) = 9774063

Least Common Multiple (LCM) of 5409 and 5421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5409 and 5421. First we will calculate the prime factors of 5409 and 5421.

Prime Factorization of 5409

Prime Factorization of 5421

Now multiplying the highest exponent prime factors to calculate the LCM of 5409 and 5421.

LCM(5409,5421) = 3² × 601¹ × 13¹ × 139¹
LCM(5409,5421) = 9774063