GCF and LCM Calculator Logo

What is the Least Common Multiple of 17246 and 17266?

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 17246 and 17266 is 148884718.

LCM(17246,17266) = 148884718

LCM Calculator and
and

Least Common Multiple of 17246 and 17266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17246 and 17266, than apply into the LCM equation.

GCF(17246,17266) = 2
LCM(17246,17266) = ( 17246 × 17266) / 2
LCM(17246,17266) = 297769436 / 2
LCM(17246,17266) = 148884718

Least Common Multiple (LCM) of 17246 and 17266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17246 and 17266. First we will calculate the prime factors of 17246 and 17266.

Prime Factorization of 17246

Prime factors of 17246 are 2, 8623. Prime factorization of 17246 in exponential form is:

17246 = 21 × 86231

Prime Factorization of 17266

Prime factors of 17266 are 2, 89, 97. Prime factorization of 17266 in exponential form is:

17266 = 21 × 891 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 17246 and 17266.

LCM(17246,17266) = 21 × 86231 × 891 × 971
LCM(17246,17266) = 148884718