What is the Least Common Multiple of 94391 and 94403?
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 94391 and 94403 is 8910793573.
LCM(94391,94403) = 8910793573
Least Common Multiple of 94391 and 94403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94391 and 94403, than apply into the LCM equation.
GCF(94391,94403) = 1
LCM(94391,94403) = ( 94391 × 94403) / 1
LCM(94391,94403) = 8910793573 / 1
LCM(94391,94403) = 8910793573
Least Common Multiple (LCM) of 94391 and 94403 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94391 and 94403. First we will calculate the prime factors of 94391 and 94403.
Prime Factorization of 94391
Prime factors of 94391 are 11, 8581. Prime factorization of 94391 in exponential form is:
94391 = 111 × 85811
Prime Factorization of 94403
Prime factors of 94403 are 67, 1409. Prime factorization of 94403 in exponential form is:
94403 = 671 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 94391 and 94403.
LCM(94391,94403) = 111 × 85811 × 671 × 14091
LCM(94391,94403) = 8910793573
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