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What is the Least Common Multiple of 9746 and 9766?

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 9746 and 9766 is 47589718.

LCM(9746,9766) = 47589718

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Least Common Multiple of 9746 and 9766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9746 and 9766, than apply into the LCM equation.

GCF(9746,9766) = 2
LCM(9746,9766) = ( 9746 × 9766) / 2
LCM(9746,9766) = 95179436 / 2
LCM(9746,9766) = 47589718

Least Common Multiple (LCM) of 9746 and 9766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9746 and 9766. First we will calculate the prime factors of 9746 and 9766.

Prime Factorization of 9746

Prime factors of 9746 are 2, 11, 443. Prime factorization of 9746 in exponential form is:

9746 = 21 × 111 × 4431

Prime Factorization of 9766

Prime factors of 9766 are 2, 19, 257. Prime factorization of 9766 in exponential form is:

9766 = 21 × 191 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9746 and 9766.

LCM(9746,9766) = 21 × 111 × 4431 × 191 × 2571
LCM(9746,9766) = 47589718