What is the Least Common Multiple of 18040 and 18060?
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 18040 and 18060 is 16290120.
LCM(18040,18060) = 16290120
Least Common Multiple of 18040 and 18060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18040 and 18060, than apply into the LCM equation.
GCF(18040,18060) = 20
LCM(18040,18060) = ( 18040 × 18060) / 20
LCM(18040,18060) = 325802400 / 20
LCM(18040,18060) = 16290120
Least Common Multiple (LCM) of 18040 and 18060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18040 and 18060. First we will calculate the prime factors of 18040 and 18060.
Prime Factorization of 18040
Prime factors of 18040 are 2, 5, 11, 41. Prime factorization of 18040 in exponential form is:
18040 = 23 × 51 × 111 × 411
Prime Factorization of 18060
Prime factors of 18060 are 2, 3, 5, 7, 43. Prime factorization of 18060 in exponential form is:
18060 = 22 × 31 × 51 × 71 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 18040 and 18060.
LCM(18040,18060) = 23 × 51 × 111 × 411 × 31 × 71 × 431
LCM(18040,18060) = 16290120
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