GCF and LCM Calculator Logo

What is the Least Common Multiple of 17234 and 17247?

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 (LCM) of 17234 and 17247 is 297234798.

LCM(17234,17247) = 297234798

LCM Calculator and
and

Least Common Multiple of 17234 and 17247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17234 and 17247, than apply into the LCM equation.

GCF(17234,17247) = 1
LCM(17234,17247) = ( 17234 × 17247) / 1
LCM(17234,17247) = 297234798 / 1
LCM(17234,17247) = 297234798

Least Common Multiple (LCM) of 17234 and 17247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17234 and 17247. First we will calculate the prime factors of 17234 and 17247.

Prime Factorization of 17234

Prime factors of 17234 are 2, 7, 1231. Prime factorization of 17234 in exponential form is:

17234 = 21 × 71 × 12311

Prime Factorization of 17247

Prime factors of 17247 are 3, 5749. Prime factorization of 17247 in exponential form is:

17247 = 31 × 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 17234 and 17247.

LCM(17234,17247) = 21 × 71 × 12311 × 31 × 57491
LCM(17234,17247) = 297234798