What is the Least Common Multiple of 18230 and 18240?
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 18230 and 18240 is 33251520.
LCM(18230,18240) = 33251520
Least Common Multiple of 18230 and 18240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18230 and 18240, than apply into the LCM equation.
GCF(18230,18240) = 10
LCM(18230,18240) = ( 18230 × 18240) / 10
LCM(18230,18240) = 332515200 / 10
LCM(18230,18240) = 33251520
Least Common Multiple (LCM) of 18230 and 18240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18230 and 18240. First we will calculate the prime factors of 18230 and 18240.
Prime Factorization of 18230
Prime factors of 18230 are 2, 5, 1823. Prime factorization of 18230 in exponential form is:
18230 = 21 × 51 × 18231
Prime Factorization of 18240
Prime factors of 18240 are 2, 3, 5, 19. Prime factorization of 18240 in exponential form is:
18240 = 26 × 31 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 18230 and 18240.
LCM(18230,18240) = 26 × 51 × 18231 × 31 × 191
LCM(18230,18240) = 33251520
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