What is the Least Common Multiple of 17238 and 17252?

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 17238 and 17252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17238 and 17252, than apply into the LCM equation.

GCF(17238,17252) = 2
LCM(17238,17252) = ( 17238 × 17252) / 2
LCM(17238,17252) = 297389976 / 2
LCM(17238,17252) = 148694988

Least Common Multiple (LCM) of 17238 and 17252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17238 and 17252. First we will calculate the prime factors of 17238 and 17252.

Prime Factorization of 17238

Prime Factorization of 17252

Now multiplying the highest exponent prime factors to calculate the LCM of 17238 and 17252.

LCM(17238,17252) = 2² × 3¹ × 13² × 17¹ × 19¹ × 227¹
LCM(17238,17252) = 148694988