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What is the Least Common Multiple of 9486 and 9505?

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 9486 and 9505 is 90164430.

LCM(9486,9505) = 90164430

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Least Common Multiple of 9486 and 9505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9486 and 9505, than apply into the LCM equation.

GCF(9486,9505) = 1
LCM(9486,9505) = ( 9486 × 9505) / 1
LCM(9486,9505) = 90164430 / 1
LCM(9486,9505) = 90164430

Least Common Multiple (LCM) of 9486 and 9505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9486 and 9505. First we will calculate the prime factors of 9486 and 9505.

Prime Factorization of 9486

Prime factors of 9486 are 2, 3, 17, 31. Prime factorization of 9486 in exponential form is:

9486 = 21 × 32 × 171 × 311

Prime Factorization of 9505

Prime factors of 9505 are 5, 1901. Prime factorization of 9505 in exponential form is:

9505 = 51 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 9486 and 9505.

LCM(9486,9505) = 21 × 32 × 171 × 311 × 51 × 19011
LCM(9486,9505) = 90164430