GCF and LCM Calculator Logo

What is the Least Common Multiple of 18110 and 18124?

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 18110 and 18124 is 164112820.

LCM(18110,18124) = 164112820

LCM Calculator and
and

Least Common Multiple of 18110 and 18124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18110 and 18124, than apply into the LCM equation.

GCF(18110,18124) = 2
LCM(18110,18124) = ( 18110 × 18124) / 2
LCM(18110,18124) = 328225640 / 2
LCM(18110,18124) = 164112820

Least Common Multiple (LCM) of 18110 and 18124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18110 and 18124. First we will calculate the prime factors of 18110 and 18124.

Prime Factorization of 18110

Prime factors of 18110 are 2, 5, 1811. Prime factorization of 18110 in exponential form is:

18110 = 21 × 51 × 18111

Prime Factorization of 18124

Prime factors of 18124 are 2, 23, 197. Prime factorization of 18124 in exponential form is:

18124 = 22 × 231 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 18110 and 18124.

LCM(18110,18124) = 22 × 51 × 18111 × 231 × 1971
LCM(18110,18124) = 164112820