What is the Least Common Multiple of 18081 and 18095?
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 18081 and 18095 is 46739385.
LCM(18081,18095) = 46739385
Least Common Multiple of 18081 and 18095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18081 and 18095, than apply into the LCM equation.
GCF(18081,18095) = 7
LCM(18081,18095) = ( 18081 × 18095) / 7
LCM(18081,18095) = 327175695 / 7
LCM(18081,18095) = 46739385
Least Common Multiple (LCM) of 18081 and 18095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18081 and 18095. First we will calculate the prime factors of 18081 and 18095.
Prime Factorization of 18081
Prime factors of 18081 are 3, 7, 41. Prime factorization of 18081 in exponential form is:
18081 = 32 × 72 × 411
Prime Factorization of 18095
Prime factors of 18095 are 5, 7, 11, 47. Prime factorization of 18095 in exponential form is:
18095 = 51 × 71 × 111 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 18081 and 18095.
LCM(18081,18095) = 32 × 72 × 411 × 51 × 111 × 471
LCM(18081,18095) = 46739385
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