GCF and LCM Calculator Logo

What is the Least Common Multiple of 36383 and 36388?

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 36383 and 36388 is 1323904604.

LCM(36383,36388) = 1323904604

LCM Calculator and
and

Least Common Multiple of 36383 and 36388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36383 and 36388, than apply into the LCM equation.

GCF(36383,36388) = 1
LCM(36383,36388) = ( 36383 × 36388) / 1
LCM(36383,36388) = 1323904604 / 1
LCM(36383,36388) = 1323904604

Least Common Multiple (LCM) of 36383 and 36388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36383 and 36388. First we will calculate the prime factors of 36383 and 36388.

Prime Factorization of 36383

Prime factors of 36383 are 36383. Prime factorization of 36383 in exponential form is:

36383 = 363831

Prime Factorization of 36388

Prime factors of 36388 are 2, 11, 827. Prime factorization of 36388 in exponential form is:

36388 = 22 × 111 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 36383 and 36388.

LCM(36383,36388) = 363831 × 22 × 111 × 8271
LCM(36383,36388) = 1323904604