GCF and LCM Calculator Logo

What is the Least Common Multiple of 18862 and 18878?

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 18862 and 18878 is 178038418.

LCM(18862,18878) = 178038418

LCM Calculator and
and

Least Common Multiple of 18862 and 18878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18862 and 18878, than apply into the LCM equation.

GCF(18862,18878) = 2
LCM(18862,18878) = ( 18862 × 18878) / 2
LCM(18862,18878) = 356076836 / 2
LCM(18862,18878) = 178038418

Least Common Multiple (LCM) of 18862 and 18878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18862 and 18878. First we will calculate the prime factors of 18862 and 18878.

Prime Factorization of 18862

Prime factors of 18862 are 2, 9431. Prime factorization of 18862 in exponential form is:

18862 = 21 × 94311

Prime Factorization of 18878

Prime factors of 18878 are 2, 9439. Prime factorization of 18878 in exponential form is:

18878 = 21 × 94391

Now multiplying the highest exponent prime factors to calculate the LCM of 18862 and 18878.

LCM(18862,18878) = 21 × 94311 × 94391
LCM(18862,18878) = 178038418