What is the Least Common Multiple of 94321 and 94329?
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 94321 and 94329 is 8897205609.
LCM(94321,94329) = 8897205609
Least Common Multiple of 94321 and 94329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94321 and 94329, than apply into the LCM equation.
GCF(94321,94329) = 1
LCM(94321,94329) = ( 94321 × 94329) / 1
LCM(94321,94329) = 8897205609 / 1
LCM(94321,94329) = 8897205609
Least Common Multiple (LCM) of 94321 and 94329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94321 and 94329. First we will calculate the prime factors of 94321 and 94329.
Prime Factorization of 94321
Prime factors of 94321 are 94321. Prime factorization of 94321 in exponential form is:
94321 = 943211
Prime Factorization of 94329
Prime factors of 94329 are 3, 47, 223. Prime factorization of 94329 in exponential form is:
94329 = 32 × 471 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 94321 and 94329.
LCM(94321,94329) = 943211 × 32 × 471 × 2231
LCM(94321,94329) = 8897205609
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