What is the Least Common Multiple of 18287 and 18292?
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 18287 and 18292 is 334505804.
LCM(18287,18292) = 334505804
Least Common Multiple of 18287 and 18292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18287 and 18292, than apply into the LCM equation.
GCF(18287,18292) = 1
LCM(18287,18292) = ( 18287 × 18292) / 1
LCM(18287,18292) = 334505804 / 1
LCM(18287,18292) = 334505804
Least Common Multiple (LCM) of 18287 and 18292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18287 and 18292. First we will calculate the prime factors of 18287 and 18292.
Prime Factorization of 18287
Prime factors of 18287 are 18287. Prime factorization of 18287 in exponential form is:
18287 = 182871
Prime Factorization of 18292
Prime factors of 18292 are 2, 17, 269. Prime factorization of 18292 in exponential form is:
18292 = 22 × 171 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 18287 and 18292.
LCM(18287,18292) = 182871 × 22 × 171 × 2691
LCM(18287,18292) = 334505804
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