GCF and LCM Calculator Logo

What is the Least Common Multiple of 17632 and 17637?

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 17632 and 17637 is 310975584.

LCM(17632,17637) = 310975584

LCM Calculator and
and

Least Common Multiple of 17632 and 17637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17632 and 17637, than apply into the LCM equation.

GCF(17632,17637) = 1
LCM(17632,17637) = ( 17632 × 17637) / 1
LCM(17632,17637) = 310975584 / 1
LCM(17632,17637) = 310975584

Least Common Multiple (LCM) of 17632 and 17637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17632 and 17637. First we will calculate the prime factors of 17632 and 17637.

Prime Factorization of 17632

Prime factors of 17632 are 2, 19, 29. Prime factorization of 17632 in exponential form is:

17632 = 25 × 191 × 291

Prime Factorization of 17637

Prime factors of 17637 are 3, 5879. Prime factorization of 17637 in exponential form is:

17637 = 31 × 58791

Now multiplying the highest exponent prime factors to calculate the LCM of 17632 and 17637.

LCM(17632,17637) = 25 × 191 × 291 × 31 × 58791
LCM(17632,17637) = 310975584