What is the Least Common Multiple of 9401 and 9412?
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 9401 and 9412 is 88482212.
LCM(9401,9412) = 88482212
Least Common Multiple of 9401 and 9412 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9401 and 9412, than apply into the LCM equation.
GCF(9401,9412) = 1
LCM(9401,9412) = ( 9401 × 9412) / 1
LCM(9401,9412) = 88482212 / 1
LCM(9401,9412) = 88482212
Least Common Multiple (LCM) of 9401 and 9412 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9401 and 9412. First we will calculate the prime factors of 9401 and 9412.
Prime Factorization of 9401
Prime factors of 9401 are 7, 17, 79. Prime factorization of 9401 in exponential form is:
9401 = 71 × 171 × 791
Prime Factorization of 9412
Prime factors of 9412 are 2, 13, 181. Prime factorization of 9412 in exponential form is:
9412 = 22 × 131 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 9401 and 9412.
LCM(9401,9412) = 71 × 171 × 791 × 22 × 131 × 1811
LCM(9401,9412) = 88482212
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