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What is the Least Common Multiple of 9425 and 9433?

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 9425 and 9433 is 88906025.

LCM(9425,9433) = 88906025

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Least Common Multiple of 9425 and 9433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9425 and 9433, than apply into the LCM equation.

GCF(9425,9433) = 1
LCM(9425,9433) = ( 9425 × 9433) / 1
LCM(9425,9433) = 88906025 / 1
LCM(9425,9433) = 88906025

Least Common Multiple (LCM) of 9425 and 9433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9425 and 9433. First we will calculate the prime factors of 9425 and 9433.

Prime Factorization of 9425

Prime factors of 9425 are 5, 13, 29. Prime factorization of 9425 in exponential form is:

9425 = 52 × 131 × 291

Prime Factorization of 9433

Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:

9433 = 94331

Now multiplying the highest exponent prime factors to calculate the LCM of 9425 and 9433.

LCM(9425,9433) = 52 × 131 × 291 × 94331
LCM(9425,9433) = 88906025