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What is the Least Common Multiple of 9742 and 9753?

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 9742 and 9753 is 95013726.

LCM(9742,9753) = 95013726

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Least Common Multiple of 9742 and 9753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9742 and 9753, than apply into the LCM equation.

GCF(9742,9753) = 1
LCM(9742,9753) = ( 9742 × 9753) / 1
LCM(9742,9753) = 95013726 / 1
LCM(9742,9753) = 95013726

Least Common Multiple (LCM) of 9742 and 9753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9753. First we will calculate the prime factors of 9742 and 9753.

Prime Factorization of 9742

Prime factors of 9742 are 2, 4871. Prime factorization of 9742 in exponential form is:

9742 = 21 × 48711

Prime Factorization of 9753

Prime factors of 9753 are 3, 3251. Prime factorization of 9753 in exponential form is:

9753 = 31 × 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9753.

LCM(9742,9753) = 21 × 48711 × 31 × 32511
LCM(9742,9753) = 95013726