What is the Least Common Multiple of 47687 and 47695?
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 47687 and 47695 is 2274431465.
LCM(47687,47695) = 2274431465
Least Common Multiple of 47687 and 47695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47687 and 47695, than apply into the LCM equation.
GCF(47687,47695) = 1
LCM(47687,47695) = ( 47687 × 47695) / 1
LCM(47687,47695) = 2274431465 / 1
LCM(47687,47695) = 2274431465
Least Common Multiple (LCM) of 47687 and 47695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47687 and 47695. First we will calculate the prime factors of 47687 and 47695.
Prime Factorization of 47687
Prime factors of 47687 are 43, 1109. Prime factorization of 47687 in exponential form is:
47687 = 431 × 11091
Prime Factorization of 47695
Prime factors of 47695 are 5, 9539. Prime factorization of 47695 in exponential form is:
47695 = 51 × 95391
Now multiplying the highest exponent prime factors to calculate the LCM of 47687 and 47695.
LCM(47687,47695) = 431 × 11091 × 51 × 95391
LCM(47687,47695) = 2274431465
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