GCF and LCM Calculator Logo

What is the Least Common Multiple of 17386 and 17402?

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 17386 and 17402 is 151275586.

LCM(17386,17402) = 151275586

LCM Calculator and
and

Least Common Multiple of 17386 and 17402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17386 and 17402, than apply into the LCM equation.

GCF(17386,17402) = 2
LCM(17386,17402) = ( 17386 × 17402) / 2
LCM(17386,17402) = 302551172 / 2
LCM(17386,17402) = 151275586

Least Common Multiple (LCM) of 17386 and 17402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17386 and 17402. First we will calculate the prime factors of 17386 and 17402.

Prime Factorization of 17386

Prime factors of 17386 are 2, 8693. Prime factorization of 17386 in exponential form is:

17386 = 21 × 86931

Prime Factorization of 17402

Prime factors of 17402 are 2, 7, 11, 113. Prime factorization of 17402 in exponential form is:

17402 = 21 × 71 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 17386 and 17402.

LCM(17386,17402) = 21 × 86931 × 71 × 111 × 1131
LCM(17386,17402) = 151275586