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What is the Least Common Multiple of 9488 and 9506?

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 9488 and 9506 is 45096464.

LCM(9488,9506) = 45096464

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Least Common Multiple of 9488 and 9506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9488 and 9506, than apply into the LCM equation.

GCF(9488,9506) = 2
LCM(9488,9506) = ( 9488 × 9506) / 2
LCM(9488,9506) = 90192928 / 2
LCM(9488,9506) = 45096464

Least Common Multiple (LCM) of 9488 and 9506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9488 and 9506. First we will calculate the prime factors of 9488 and 9506.

Prime Factorization of 9488

Prime factors of 9488 are 2, 593. Prime factorization of 9488 in exponential form is:

9488 = 24 × 5931

Prime Factorization of 9506

Prime factors of 9506 are 2, 7, 97. Prime factorization of 9506 in exponential form is:

9506 = 21 × 72 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 9488 and 9506.

LCM(9488,9506) = 24 × 5931 × 72 × 971
LCM(9488,9506) = 45096464