GCF and LCM Calculator Logo

What is the Least Common Multiple of 18787 and 18800?

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 18787 and 18800 is 353195600.

LCM(18787,18800) = 353195600

LCM Calculator and
and

Least Common Multiple of 18787 and 18800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18787 and 18800, than apply into the LCM equation.

GCF(18787,18800) = 1
LCM(18787,18800) = ( 18787 × 18800) / 1
LCM(18787,18800) = 353195600 / 1
LCM(18787,18800) = 353195600

Least Common Multiple (LCM) of 18787 and 18800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18787 and 18800. First we will calculate the prime factors of 18787 and 18800.

Prime Factorization of 18787

Prime factors of 18787 are 18787. Prime factorization of 18787 in exponential form is:

18787 = 187871

Prime Factorization of 18800

Prime factors of 18800 are 2, 5, 47. Prime factorization of 18800 in exponential form is:

18800 = 24 × 52 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 18787 and 18800.

LCM(18787,18800) = 187871 × 24 × 52 × 471
LCM(18787,18800) = 353195600