What is the Least Common Multiple of 47322 and 47329?
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 47322 and 47329 is 2239702938.
LCM(47322,47329) = 2239702938
Least Common Multiple of 47322 and 47329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47322 and 47329, than apply into the LCM equation.
GCF(47322,47329) = 1
LCM(47322,47329) = ( 47322 × 47329) / 1
LCM(47322,47329) = 2239702938 / 1
LCM(47322,47329) = 2239702938
Least Common Multiple (LCM) of 47322 and 47329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47322 and 47329. First we will calculate the prime factors of 47322 and 47329.
Prime Factorization of 47322
Prime factors of 47322 are 2, 3, 11, 239. Prime factorization of 47322 in exponential form is:
47322 = 21 × 32 × 111 × 2391
Prime Factorization of 47329
Prime factors of 47329 are 19, 47, 53. Prime factorization of 47329 in exponential form is:
47329 = 191 × 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 47322 and 47329.
LCM(47322,47329) = 21 × 32 × 111 × 2391 × 191 × 471 × 531
LCM(47322,47329) = 2239702938
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