What is the Least Common Multiple of 9426 and 9431?
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 9426 and 9431 is 88896606.
LCM(9426,9431) = 88896606
Least Common Multiple of 9426 and 9431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9426 and 9431, than apply into the LCM equation.
GCF(9426,9431) = 1
LCM(9426,9431) = ( 9426 × 9431) / 1
LCM(9426,9431) = 88896606 / 1
LCM(9426,9431) = 88896606
Least Common Multiple (LCM) of 9426 and 9431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9426 and 9431. First we will calculate the prime factors of 9426 and 9431.
Prime Factorization of 9426
Prime factors of 9426 are 2, 3, 1571. Prime factorization of 9426 in exponential form is:
9426 = 21 × 31 × 15711
Prime Factorization of 9431
Prime factors of 9431 are 9431. Prime factorization of 9431 in exponential form is:
9431 = 94311
Now multiplying the highest exponent prime factors to calculate the LCM of 9426 and 9431.
LCM(9426,9431) = 21 × 31 × 15711 × 94311
LCM(9426,9431) = 88896606
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