GCF and LCM Calculator Logo

What is the Least Common Multiple of 17353 and 17362?

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 17353 and 17362 is 301282786.

LCM(17353,17362) = 301282786

LCM Calculator and
and

Least Common Multiple of 17353 and 17362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17353 and 17362, than apply into the LCM equation.

GCF(17353,17362) = 1
LCM(17353,17362) = ( 17353 × 17362) / 1
LCM(17353,17362) = 301282786 / 1
LCM(17353,17362) = 301282786

Least Common Multiple (LCM) of 17353 and 17362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17353 and 17362. First we will calculate the prime factors of 17353 and 17362.

Prime Factorization of 17353

Prime factors of 17353 are 7, 37, 67. Prime factorization of 17353 in exponential form is:

17353 = 71 × 371 × 671

Prime Factorization of 17362

Prime factors of 17362 are 2, 8681. Prime factorization of 17362 in exponential form is:

17362 = 21 × 86811

Now multiplying the highest exponent prime factors to calculate the LCM of 17353 and 17362.

LCM(17353,17362) = 71 × 371 × 671 × 21 × 86811
LCM(17353,17362) = 301282786