What is the Least Common Multiple of 18297 and 18302?
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 18297 and 18302 is 334871694.
LCM(18297,18302) = 334871694
Least Common Multiple of 18297 and 18302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18297 and 18302, than apply into the LCM equation.
GCF(18297,18302) = 1
LCM(18297,18302) = ( 18297 × 18302) / 1
LCM(18297,18302) = 334871694 / 1
LCM(18297,18302) = 334871694
Least Common Multiple (LCM) of 18297 and 18302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18297 and 18302. First we will calculate the prime factors of 18297 and 18302.
Prime Factorization of 18297
Prime factors of 18297 are 3, 19, 107. Prime factorization of 18297 in exponential form is:
18297 = 32 × 191 × 1071
Prime Factorization of 18302
Prime factors of 18302 are 2, 9151. Prime factorization of 18302 in exponential form is:
18302 = 21 × 91511
Now multiplying the highest exponent prime factors to calculate the LCM of 18297 and 18302.
LCM(18297,18302) = 32 × 191 × 1071 × 21 × 91511
LCM(18297,18302) = 334871694
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