GCF and LCM Calculator Logo

What is the Least Common Multiple of 19058 and 19072?

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 19058 and 19072 is 181737088.

LCM(19058,19072) = 181737088

LCM Calculator and
and

Least Common Multiple of 19058 and 19072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19058 and 19072, than apply into the LCM equation.

GCF(19058,19072) = 2
LCM(19058,19072) = ( 19058 × 19072) / 2
LCM(19058,19072) = 363474176 / 2
LCM(19058,19072) = 181737088

Least Common Multiple (LCM) of 19058 and 19072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19058 and 19072. First we will calculate the prime factors of 19058 and 19072.

Prime Factorization of 19058

Prime factors of 19058 are 2, 13, 733. Prime factorization of 19058 in exponential form is:

19058 = 21 × 131 × 7331

Prime Factorization of 19072

Prime factors of 19072 are 2, 149. Prime factorization of 19072 in exponential form is:

19072 = 27 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 19058 and 19072.

LCM(19058,19072) = 27 × 131 × 7331 × 1491
LCM(19058,19072) = 181737088