What is the Least Common Multiple of 17214 and 17232?

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 17214 and 17232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17214 and 17232, than apply into the LCM equation.

GCF(17214,17232) = 6
LCM(17214,17232) = ( 17214 × 17232) / 6
LCM(17214,17232) = 296631648 / 6
LCM(17214,17232) = 49438608

Least Common Multiple (LCM) of 17214 and 17232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17214 and 17232. First we will calculate the prime factors of 17214 and 17232.

Prime Factorization of 17214

Prime Factorization of 17232

Now multiplying the highest exponent prime factors to calculate the LCM of 17214 and 17232.

LCM(17214,17232) = 2⁴ × 3¹ × 19¹ × 151¹ × 359¹
LCM(17214,17232) = 49438608