What is the Least Common Multiple of 17435 and 17448?

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 17435 and 17448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17435 and 17448, than apply into the LCM equation.

GCF(17435,17448) = 1
LCM(17435,17448) = ( 17435 × 17448) / 1
LCM(17435,17448) = 304205880 / 1
LCM(17435,17448) = 304205880

Least Common Multiple (LCM) of 17435 and 17448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17435 and 17448. First we will calculate the prime factors of 17435 and 17448.

Prime Factorization of 17435

Prime Factorization of 17448

Now multiplying the highest exponent prime factors to calculate the LCM of 17435 and 17448.

LCM(17435,17448) = 5¹ × 11¹ × 317¹ × 2³ × 3¹ × 727¹
LCM(17435,17448) = 304205880