GCF and LCM Calculator Logo

What is the Least Common Multiple of 36688 and 36707?

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 36688 and 36707 is 1346706416.

LCM(36688,36707) = 1346706416

LCM Calculator and
and

Least Common Multiple of 36688 and 36707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36688 and 36707, than apply into the LCM equation.

GCF(36688,36707) = 1
LCM(36688,36707) = ( 36688 × 36707) / 1
LCM(36688,36707) = 1346706416 / 1
LCM(36688,36707) = 1346706416

Least Common Multiple (LCM) of 36688 and 36707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36688 and 36707. First we will calculate the prime factors of 36688 and 36707.

Prime Factorization of 36688

Prime factors of 36688 are 2, 2293. Prime factorization of 36688 in exponential form is:

36688 = 24 × 22931

Prime Factorization of 36707

Prime factors of 36707 are 11, 47, 71. Prime factorization of 36707 in exponential form is:

36707 = 111 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 36688 and 36707.

LCM(36688,36707) = 24 × 22931 × 111 × 471 × 711
LCM(36688,36707) = 1346706416