GCF and LCM Calculator Logo

What is the Least Common Multiple of 18892 and 18897?

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 18892 and 18897 is 357002124.

LCM(18892,18897) = 357002124

LCM Calculator and
and

Least Common Multiple of 18892 and 18897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18892 and 18897, than apply into the LCM equation.

GCF(18892,18897) = 1
LCM(18892,18897) = ( 18892 × 18897) / 1
LCM(18892,18897) = 357002124 / 1
LCM(18892,18897) = 357002124

Least Common Multiple (LCM) of 18892 and 18897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18892 and 18897. First we will calculate the prime factors of 18892 and 18897.

Prime Factorization of 18892

Prime factors of 18892 are 2, 4723. Prime factorization of 18892 in exponential form is:

18892 = 22 × 47231

Prime Factorization of 18897

Prime factors of 18897 are 3, 6299. Prime factorization of 18897 in exponential form is:

18897 = 31 × 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 18892 and 18897.

LCM(18892,18897) = 22 × 47231 × 31 × 62991
LCM(18892,18897) = 357002124