What is the Least Common Multiple of 18296 and 18303?
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 18296 and 18303 is 334871688.
LCM(18296,18303) = 334871688
Least Common Multiple of 18296 and 18303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18296 and 18303, than apply into the LCM equation.
GCF(18296,18303) = 1
LCM(18296,18303) = ( 18296 × 18303) / 1
LCM(18296,18303) = 334871688 / 1
LCM(18296,18303) = 334871688
Least Common Multiple (LCM) of 18296 and 18303 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18296 and 18303. First we will calculate the prime factors of 18296 and 18303.
Prime Factorization of 18296
Prime factors of 18296 are 2, 2287. Prime factorization of 18296 in exponential form is:
18296 = 23 × 22871
Prime Factorization of 18303
Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:
18303 = 31 × 61011
Now multiplying the highest exponent prime factors to calculate the LCM of 18296 and 18303.
LCM(18296,18303) = 23 × 22871 × 31 × 61011
LCM(18296,18303) = 334871688
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