What is the Least Common Multiple of 17200 and 17208?

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 17200 and 17208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17200 and 17208, than apply into the LCM equation.

GCF(17200,17208) = 8
LCM(17200,17208) = ( 17200 × 17208) / 8
LCM(17200,17208) = 295977600 / 8
LCM(17200,17208) = 36997200

Least Common Multiple (LCM) of 17200 and 17208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17200 and 17208. First we will calculate the prime factors of 17200 and 17208.

Prime Factorization of 17200

Prime Factorization of 17208

Now multiplying the highest exponent prime factors to calculate the LCM of 17200 and 17208.

LCM(17200,17208) = 2⁴ × 5² × 43¹ × 3² × 239¹
LCM(17200,17208) = 36997200