What is the Least Common Multiple of 18302 and 18312?
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 18302 and 18312 is 167573112.
LCM(18302,18312) = 167573112
Least Common Multiple of 18302 and 18312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18302 and 18312, than apply into the LCM equation.
GCF(18302,18312) = 2
LCM(18302,18312) = ( 18302 × 18312) / 2
LCM(18302,18312) = 335146224 / 2
LCM(18302,18312) = 167573112
Least Common Multiple (LCM) of 18302 and 18312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18302 and 18312. First we will calculate the prime factors of 18302 and 18312.
Prime Factorization of 18302
Prime factors of 18302 are 2, 9151. Prime factorization of 18302 in exponential form is:
18302 = 21 × 91511
Prime Factorization of 18312
Prime factors of 18312 are 2, 3, 7, 109. Prime factorization of 18312 in exponential form is:
18312 = 23 × 31 × 71 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 18302 and 18312.
LCM(18302,18312) = 23 × 91511 × 31 × 71 × 1091
LCM(18302,18312) = 167573112
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