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What is the Least Common Multiple of 9427 and 9435?

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 9435 is 88943745.

LCM(9427,9435) = 88943745

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Least Common Multiple of 9427 and 9435 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 9435, than apply into the LCM equation.

GCF(9427,9435) = 1
LCM(9427,9435) = ( 9427 × 9435) / 1
LCM(9427,9435) = 88943745 / 1
LCM(9427,9435) = 88943745

Least Common Multiple (LCM) of 9427 and 9435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9427 and 9435. First we will calculate the prime factors of 9427 and 9435.

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 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 31 × 51 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 9427 and 9435.

LCM(9427,9435) = 111 × 8571 × 31 × 51 × 171 × 371
LCM(9427,9435) = 88943745