GCF and LCM Calculator Logo

What is the Least Common Multiple of 17258 and 17262?

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 17258 and 17262 is 148953798.

LCM(17258,17262) = 148953798

LCM Calculator and
and

Least Common Multiple of 17258 and 17262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17258 and 17262, than apply into the LCM equation.

GCF(17258,17262) = 2
LCM(17258,17262) = ( 17258 × 17262) / 2
LCM(17258,17262) = 297907596 / 2
LCM(17258,17262) = 148953798

Least Common Multiple (LCM) of 17258 and 17262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17258 and 17262. First we will calculate the prime factors of 17258 and 17262.

Prime Factorization of 17258

Prime factors of 17258 are 2, 8629. Prime factorization of 17258 in exponential form is:

17258 = 21 × 86291

Prime Factorization of 17262

Prime factors of 17262 are 2, 3, 7, 137. Prime factorization of 17262 in exponential form is:

17262 = 21 × 32 × 71 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17258 and 17262.

LCM(17258,17262) = 21 × 86291 × 32 × 71 × 1371
LCM(17258,17262) = 148953798