What is the Least Common Multiple of 47261 and 47281?
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 47261 and 47281 is 2234547341.
LCM(47261,47281) = 2234547341
Least Common Multiple of 47261 and 47281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47261 and 47281, than apply into the LCM equation.
GCF(47261,47281) = 1
LCM(47261,47281) = ( 47261 × 47281) / 1
LCM(47261,47281) = 2234547341 / 1
LCM(47261,47281) = 2234547341
Least Common Multiple (LCM) of 47261 and 47281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47261 and 47281. First we will calculate the prime factors of 47261 and 47281.
Prime Factorization of 47261
Prime factors of 47261 are 167, 283. Prime factorization of 47261 in exponential form is:
47261 = 1671 × 2831
Prime Factorization of 47281
Prime factors of 47281 are 13, 3637. Prime factorization of 47281 in exponential form is:
47281 = 131 × 36371
Now multiplying the highest exponent prime factors to calculate the LCM of 47261 and 47281.
LCM(47261,47281) = 1671 × 2831 × 131 × 36371
LCM(47261,47281) = 2234547341
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