What is the Least Common Multiple of 94403 and 94412?
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 94403 and 94412 is 8912776036.
LCM(94403,94412) = 8912776036
Least Common Multiple of 94403 and 94412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94403 and 94412, than apply into the LCM equation.
GCF(94403,94412) = 1
LCM(94403,94412) = ( 94403 × 94412) / 1
LCM(94403,94412) = 8912776036 / 1
LCM(94403,94412) = 8912776036
Least Common Multiple (LCM) of 94403 and 94412 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94403 and 94412. First we will calculate the prime factors of 94403 and 94412.
Prime Factorization of 94403
Prime factors of 94403 are 67, 1409. Prime factorization of 94403 in exponential form is:
94403 = 671 × 14091
Prime Factorization of 94412
Prime factors of 94412 are 2, 23603. Prime factorization of 94412 in exponential form is:
94412 = 22 × 236031
Now multiplying the highest exponent prime factors to calculate the LCM of 94403 and 94412.
LCM(94403,94412) = 671 × 14091 × 22 × 236031
LCM(94403,94412) = 8912776036
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