What is the Least Common Multiple of 13430 and 13448?

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 13430 and 13448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13430 and 13448, than apply into the LCM equation.

GCF(13430,13448) = 2
LCM(13430,13448) = ( 13430 × 13448) / 2
LCM(13430,13448) = 180606640 / 2
LCM(13430,13448) = 90303320

Least Common Multiple (LCM) of 13430 and 13448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13430 and 13448. First we will calculate the prime factors of 13430 and 13448.

Prime Factorization of 13430

Prime Factorization of 13448

Now multiplying the highest exponent prime factors to calculate the LCM of 13430 and 13448.

LCM(13430,13448) = 2³ × 5¹ × 17¹ × 79¹ × 41²
LCM(13430,13448) = 90303320