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What is the Least Common Multiple of 9742 and 9757?

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 9757 is 95052694.

LCM(9742,9757) = 95052694

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Least Common Multiple of 9742 and 9757 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 9757, than apply into the LCM equation.

GCF(9742,9757) = 1
LCM(9742,9757) = ( 9742 × 9757) / 1
LCM(9742,9757) = 95052694 / 1
LCM(9742,9757) = 95052694

Least Common Multiple (LCM) of 9742 and 9757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9742 and 9757. First we will calculate the prime factors of 9742 and 9757.

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 9757

Prime factors of 9757 are 11, 887. Prime factorization of 9757 in exponential form is:

9757 = 111 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 9742 and 9757.

LCM(9742,9757) = 21 × 48711 × 111 × 8871
LCM(9742,9757) = 95052694