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What is the Least Common Multiple of 9740 and 9746?

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 9740 and 9746 is 47463020.

LCM(9740,9746) = 47463020

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Least Common Multiple of 9740 and 9746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9740 and 9746, than apply into the LCM equation.

GCF(9740,9746) = 2
LCM(9740,9746) = ( 9740 × 9746) / 2
LCM(9740,9746) = 94926040 / 2
LCM(9740,9746) = 47463020

Least Common Multiple (LCM) of 9740 and 9746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9746. First we will calculate the prime factors of 9740 and 9746.

Prime Factorization of 9740

Prime factors of 9740 are 2, 5, 487. Prime factorization of 9740 in exponential form is:

9740 = 22 × 51 × 4871

Prime Factorization of 9746

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

9746 = 21 × 111 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9746.

LCM(9740,9746) = 22 × 51 × 4871 × 111 × 4431
LCM(9740,9746) = 47463020