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What is the Least Common Multiple of 18140 and 18150?

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 18140 and 18150 is 32924100.

LCM(18140,18150) = 32924100

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Least Common Multiple of 18140 and 18150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18140 and 18150, than apply into the LCM equation.

GCF(18140,18150) = 10
LCM(18140,18150) = ( 18140 × 18150) / 10
LCM(18140,18150) = 329241000 / 10
LCM(18140,18150) = 32924100

Least Common Multiple (LCM) of 18140 and 18150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18140 and 18150. First we will calculate the prime factors of 18140 and 18150.

Prime Factorization of 18140

Prime factors of 18140 are 2, 5, 907. Prime factorization of 18140 in exponential form is:

18140 = 22 × 51 × 9071

Prime Factorization of 18150

Prime factors of 18150 are 2, 3, 5, 11. Prime factorization of 18150 in exponential form is:

18150 = 21 × 31 × 52 × 112

Now multiplying the highest exponent prime factors to calculate the LCM of 18140 and 18150.

LCM(18140,18150) = 22 × 52 × 9071 × 31 × 112
LCM(18140,18150) = 32924100