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What is the Least Common Multiple of 9747 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 9747 and 9766 is 5009958.

LCM(9747,9766) = 5009958

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Least Common Multiple of 9747 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 9747 and 9766, than apply into the LCM equation.

GCF(9747,9766) = 19
LCM(9747,9766) = ( 9747 × 9766) / 19
LCM(9747,9766) = 95189202 / 19
LCM(9747,9766) = 5009958

Least Common Multiple (LCM) of 9747 and 9766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9747 and 9766. First we will calculate the prime factors of 9747 and 9766.

Prime Factorization of 9747

Prime factors of 9747 are 3, 19. Prime factorization of 9747 in exponential form is:

9747 = 33 × 192

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 9747 and 9766.

LCM(9747,9766) = 33 × 192 × 21 × 2571
LCM(9747,9766) = 5009958