What is the Least Common Multiple of 47387 and 47391?
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 47387 and 47391 is 2245717317.
LCM(47387,47391) = 2245717317
Least Common Multiple of 47387 and 47391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47387 and 47391, than apply into the LCM equation.
GCF(47387,47391) = 1
LCM(47387,47391) = ( 47387 × 47391) / 1
LCM(47387,47391) = 2245717317 / 1
LCM(47387,47391) = 2245717317
Least Common Multiple (LCM) of 47387 and 47391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47387 and 47391. First we will calculate the prime factors of 47387 and 47391.
Prime Factorization of 47387
Prime factors of 47387 are 47387. Prime factorization of 47387 in exponential form is:
47387 = 473871
Prime Factorization of 47391
Prime factors of 47391 are 3, 15797. Prime factorization of 47391 in exponential form is:
47391 = 31 × 157971
Now multiplying the highest exponent prime factors to calculate the LCM of 47387 and 47391.
LCM(47387,47391) = 473871 × 31 × 157971
LCM(47387,47391) = 2245717317
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