What is the Least Common Multiple of 47433 and 47443?
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 47433 and 47443 is 2250363819.
LCM(47433,47443) = 2250363819
Least Common Multiple of 47433 and 47443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47433 and 47443, than apply into the LCM equation.
GCF(47433,47443) = 1
LCM(47433,47443) = ( 47433 × 47443) / 1
LCM(47433,47443) = 2250363819 / 1
LCM(47433,47443) = 2250363819
Least Common Multiple (LCM) of 47433 and 47443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47433 and 47443. First we will calculate the prime factors of 47433 and 47443.
Prime Factorization of 47433
Prime factors of 47433 are 3, 97, 163. Prime factorization of 47433 in exponential form is:
47433 = 31 × 971 × 1631
Prime Factorization of 47443
Prime factors of 47443 are 11, 19, 227. Prime factorization of 47443 in exponential form is:
47443 = 111 × 191 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 47433 and 47443.
LCM(47433,47443) = 31 × 971 × 1631 × 111 × 191 × 2271
LCM(47433,47443) = 2250363819
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