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What is the Least Common Multiple of 9427 and 9434?

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 9427 and 9434 is 88934318.

LCM(9427,9434) = 88934318

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Least Common Multiple of 9427 and 9434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9427 and 9434, than apply into the LCM equation.

GCF(9427,9434) = 1
LCM(9427,9434) = ( 9427 × 9434) / 1
LCM(9427,9434) = 88934318 / 1
LCM(9427,9434) = 88934318

Least Common Multiple (LCM) of 9427 and 9434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9427 and 9434. First we will calculate the prime factors of 9427 and 9434.

Prime Factorization of 9427

Prime factors of 9427 are 11, 857. Prime factorization of 9427 in exponential form is:

9427 = 111 × 8571

Prime Factorization of 9434

Prime factors of 9434 are 2, 53, 89. Prime factorization of 9434 in exponential form is:

9434 = 21 × 531 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 9427 and 9434.

LCM(9427,9434) = 111 × 8571 × 21 × 531 × 891
LCM(9427,9434) = 88934318