What is the Least Common Multiple of 94412 and 94431?
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 94412 and 94431 is 8915419572.
LCM(94412,94431) = 8915419572
Least Common Multiple of 94412 and 94431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94412 and 94431, than apply into the LCM equation.
GCF(94412,94431) = 1
LCM(94412,94431) = ( 94412 × 94431) / 1
LCM(94412,94431) = 8915419572 / 1
LCM(94412,94431) = 8915419572
Least Common Multiple (LCM) of 94412 and 94431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94412 and 94431. First we will calculate the prime factors of 94412 and 94431.
Prime Factorization of 94412
Prime factors of 94412 are 2, 23603. Prime factorization of 94412 in exponential form is:
94412 = 22 × 236031
Prime Factorization of 94431
Prime factors of 94431 are 3, 31477. Prime factorization of 94431 in exponential form is:
94431 = 31 × 314771
Now multiplying the highest exponent prime factors to calculate the LCM of 94412 and 94431.
LCM(94412,94431) = 22 × 236031 × 31 × 314771
LCM(94412,94431) = 8915419572
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