What is the Least Common Multiple of 94323 and 94327?
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 94323 and 94327 is 8897205621.
LCM(94323,94327) = 8897205621
Least Common Multiple of 94323 and 94327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94323 and 94327, than apply into the LCM equation.
GCF(94323,94327) = 1
LCM(94323,94327) = ( 94323 × 94327) / 1
LCM(94323,94327) = 8897205621 / 1
LCM(94323,94327) = 8897205621
Least Common Multiple (LCM) of 94323 and 94327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94323 and 94327. First we will calculate the prime factors of 94323 and 94327.
Prime Factorization of 94323
Prime factors of 94323 are 3, 23, 1367. Prime factorization of 94323 in exponential form is:
94323 = 31 × 231 × 13671
Prime Factorization of 94327
Prime factors of 94327 are 94327. Prime factorization of 94327 in exponential form is:
94327 = 943271
Now multiplying the highest exponent prime factors to calculate the LCM of 94323 and 94327.
LCM(94323,94327) = 31 × 231 × 13671 × 943271
LCM(94323,94327) = 8897205621
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