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What is the Least Common Multiple of 9426 and 9443?

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 9443 is 89009718.

LCM(9426,9443) = 89009718

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Least Common Multiple of 9426 and 9443 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 9443, than apply into the LCM equation.

GCF(9426,9443) = 1
LCM(9426,9443) = ( 9426 × 9443) / 1
LCM(9426,9443) = 89009718 / 1
LCM(9426,9443) = 89009718

Least Common Multiple (LCM) of 9426 and 9443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9426 and 9443. First we will calculate the prime factors of 9426 and 9443.

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 9443

Prime factors of 9443 are 7, 19, 71. Prime factorization of 9443 in exponential form is:

9443 = 71 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 9426 and 9443.

LCM(9426,9443) = 21 × 31 × 15711 × 71 × 191 × 711
LCM(9426,9443) = 89009718