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What is the Least Common Multiple of 9783 and 9790?

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 9783 and 9790 is 95775570.

LCM(9783,9790) = 95775570

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Least Common Multiple of 9783 and 9790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9783 and 9790, than apply into the LCM equation.

GCF(9783,9790) = 1
LCM(9783,9790) = ( 9783 × 9790) / 1
LCM(9783,9790) = 95775570 / 1
LCM(9783,9790) = 95775570

Least Common Multiple (LCM) of 9783 and 9790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9790. First we will calculate the prime factors of 9783 and 9790.

Prime Factorization of 9783

Prime factors of 9783 are 3, 1087. Prime factorization of 9783 in exponential form is:

9783 = 32 × 10871

Prime Factorization of 9790

Prime factors of 9790 are 2, 5, 11, 89. Prime factorization of 9790 in exponential form is:

9790 = 21 × 51 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 9783 and 9790.

LCM(9783,9790) = 32 × 10871 × 21 × 51 × 111 × 891
LCM(9783,9790) = 95775570