What is the Least Common Multiple of 9406 and 9426?
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 9406 and 9426 is 44330478.
LCM(9406,9426) = 44330478
Least Common Multiple of 9406 and 9426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9406 and 9426, than apply into the LCM equation.
GCF(9406,9426) = 2
LCM(9406,9426) = ( 9406 × 9426) / 2
LCM(9406,9426) = 88660956 / 2
LCM(9406,9426) = 44330478
Least Common Multiple (LCM) of 9406 and 9426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9406 and 9426. First we will calculate the prime factors of 9406 and 9426.
Prime Factorization of 9406
Prime factors of 9406 are 2, 4703. Prime factorization of 9406 in exponential form is:
9406 = 21 × 47031
Prime Factorization of 9426
Prime factors of 9426 are 2, 3, 1571. Prime factorization of 9426 in exponential form is:
9426 = 21 × 31 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 9406 and 9426.
LCM(9406,9426) = 21 × 47031 × 31 × 15711
LCM(9406,9426) = 44330478
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