What is the Least Common Multiple of 17232 and 17240?

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 17232 and 17240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17232 and 17240, than apply into the LCM equation.

GCF(17232,17240) = 8
LCM(17232,17240) = ( 17232 × 17240) / 8
LCM(17232,17240) = 297079680 / 8
LCM(17232,17240) = 37134960

Least Common Multiple (LCM) of 17232 and 17240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17232 and 17240. First we will calculate the prime factors of 17232 and 17240.

Prime Factorization of 17232

Prime Factorization of 17240

Now multiplying the highest exponent prime factors to calculate the LCM of 17232 and 17240.

LCM(17232,17240) = 2⁴ × 3¹ × 359¹ × 5¹ × 431¹
LCM(17232,17240) = 37134960