GCF and LCM Calculator Logo

What is the Least Common Multiple of 17388 and 17408?

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 17388 and 17408 is 75672576.

LCM(17388,17408) = 75672576

LCM Calculator and
and

Least Common Multiple of 17388 and 17408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17388 and 17408, than apply into the LCM equation.

GCF(17388,17408) = 4
LCM(17388,17408) = ( 17388 × 17408) / 4
LCM(17388,17408) = 302690304 / 4
LCM(17388,17408) = 75672576

Least Common Multiple (LCM) of 17388 and 17408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17388 and 17408. First we will calculate the prime factors of 17388 and 17408.

Prime Factorization of 17388

Prime factors of 17388 are 2, 3, 7, 23. Prime factorization of 17388 in exponential form is:

17388 = 22 × 33 × 71 × 231

Prime Factorization of 17408

Prime factors of 17408 are 2, 17. Prime factorization of 17408 in exponential form is:

17408 = 210 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 17388 and 17408.

LCM(17388,17408) = 210 × 33 × 71 × 231 × 171
LCM(17388,17408) = 75672576