What is the Least Common Multiple of 18407 and 18417?
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 18407 and 18417 is 339001719.
LCM(18407,18417) = 339001719
Least Common Multiple of 18407 and 18417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18407 and 18417, than apply into the LCM equation.
GCF(18407,18417) = 1
LCM(18407,18417) = ( 18407 × 18417) / 1
LCM(18407,18417) = 339001719 / 1
LCM(18407,18417) = 339001719
Least Common Multiple (LCM) of 18407 and 18417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18407 and 18417. First we will calculate the prime factors of 18407 and 18417.
Prime Factorization of 18407
Prime factors of 18407 are 79, 233. Prime factorization of 18407 in exponential form is:
18407 = 791 × 2331
Prime Factorization of 18417
Prime factors of 18417 are 3, 7, 877. Prime factorization of 18417 in exponential form is:
18417 = 31 × 71 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 18407 and 18417.
LCM(18407,18417) = 791 × 2331 × 31 × 71 × 8771
LCM(18407,18417) = 339001719
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