What is the Least Common Multiple of 47356 and 47367?
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 47356 and 47367 is 2243111652.
LCM(47356,47367) = 2243111652
Least Common Multiple of 47356 and 47367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47356 and 47367, than apply into the LCM equation.
GCF(47356,47367) = 1
LCM(47356,47367) = ( 47356 × 47367) / 1
LCM(47356,47367) = 2243111652 / 1
LCM(47356,47367) = 2243111652
Least Common Multiple (LCM) of 47356 and 47367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47356 and 47367. First we will calculate the prime factors of 47356 and 47367.
Prime Factorization of 47356
Prime factors of 47356 are 2, 11839. Prime factorization of 47356 in exponential form is:
47356 = 22 × 118391
Prime Factorization of 47367
Prime factors of 47367 are 3, 19, 277. Prime factorization of 47367 in exponential form is:
47367 = 32 × 191 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 47356 and 47367.
LCM(47356,47367) = 22 × 118391 × 32 × 191 × 2771
LCM(47356,47367) = 2243111652
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