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What is the Least Common Multiple of 9477 and 9495?

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 9477 and 9495 is 9998235.

LCM(9477,9495) = 9998235

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Least Common Multiple of 9477 and 9495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9477 and 9495, than apply into the LCM equation.

GCF(9477,9495) = 9
LCM(9477,9495) = ( 9477 × 9495) / 9
LCM(9477,9495) = 89984115 / 9
LCM(9477,9495) = 9998235

Least Common Multiple (LCM) of 9477 and 9495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9477 and 9495. First we will calculate the prime factors of 9477 and 9495.

Prime Factorization of 9477

Prime factors of 9477 are 3, 13. Prime factorization of 9477 in exponential form is:

9477 = 36 × 131

Prime Factorization of 9495

Prime factors of 9495 are 3, 5, 211. Prime factorization of 9495 in exponential form is:

9495 = 32 × 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9477 and 9495.

LCM(9477,9495) = 36 × 131 × 51 × 2111
LCM(9477,9495) = 9998235