GCF and LCM Calculator Logo

What is the Least Common Multiple of 9445 and 9462?

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 9445 and 9462 is 89368590.

LCM(9445,9462) = 89368590

LCM Calculator and
and

Least Common Multiple of 9445 and 9462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9445 and 9462, than apply into the LCM equation.

GCF(9445,9462) = 1
LCM(9445,9462) = ( 9445 × 9462) / 1
LCM(9445,9462) = 89368590 / 1
LCM(9445,9462) = 89368590

Least Common Multiple (LCM) of 9445 and 9462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9445 and 9462. First we will calculate the prime factors of 9445 and 9462.

Prime Factorization of 9445

Prime factors of 9445 are 5, 1889. Prime factorization of 9445 in exponential form is:

9445 = 51 × 18891

Prime Factorization of 9462

Prime factors of 9462 are 2, 3, 19, 83. Prime factorization of 9462 in exponential form is:

9462 = 21 × 31 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9445 and 9462.

LCM(9445,9462) = 51 × 18891 × 21 × 31 × 191 × 831
LCM(9445,9462) = 89368590