What is the Least Common Multiple of 94351 and 94371?
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 94351 and 94371 is 8903998221.
LCM(94351,94371) = 8903998221
Least Common Multiple of 94351 and 94371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94351 and 94371, than apply into the LCM equation.
GCF(94351,94371) = 1
LCM(94351,94371) = ( 94351 × 94371) / 1
LCM(94351,94371) = 8903998221 / 1
LCM(94351,94371) = 8903998221
Least Common Multiple (LCM) of 94351 and 94371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94351 and 94371. First we will calculate the prime factors of 94351 and 94371.
Prime Factorization of 94351
Prime factors of 94351 are 94351. Prime factorization of 94351 in exponential form is:
94351 = 943511
Prime Factorization of 94371
Prime factors of 94371 are 3, 83, 379. Prime factorization of 94371 in exponential form is:
94371 = 31 × 831 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 94351 and 94371.
LCM(94351,94371) = 943511 × 31 × 831 × 3791
LCM(94351,94371) = 8903998221
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