What is the Least Common Multiple of 47281 and 47287?
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 47281 and 47287 is 2235776647.
LCM(47281,47287) = 2235776647
Least Common Multiple of 47281 and 47287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47281 and 47287, than apply into the LCM equation.
GCF(47281,47287) = 1
LCM(47281,47287) = ( 47281 × 47287) / 1
LCM(47281,47287) = 2235776647 / 1
LCM(47281,47287) = 2235776647
Least Common Multiple (LCM) of 47281 and 47287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47281 and 47287. First we will calculate the prime factors of 47281 and 47287.
Prime Factorization of 47281
Prime factors of 47281 are 13, 3637. Prime factorization of 47281 in exponential form is:
47281 = 131 × 36371
Prime Factorization of 47287
Prime factors of 47287 are 47287. Prime factorization of 47287 in exponential form is:
47287 = 472871
Now multiplying the highest exponent prime factors to calculate the LCM of 47281 and 47287.
LCM(47281,47287) = 131 × 36371 × 472871
LCM(47281,47287) = 2235776647
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