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What is the Least Common Multiple of 9707 and 9712?

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 9707 and 9712 is 94274384.

LCM(9707,9712) = 94274384

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Least Common Multiple of 9707 and 9712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9707 and 9712, than apply into the LCM equation.

GCF(9707,9712) = 1
LCM(9707,9712) = ( 9707 × 9712) / 1
LCM(9707,9712) = 94274384 / 1
LCM(9707,9712) = 94274384

Least Common Multiple (LCM) of 9707 and 9712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9707 and 9712. First we will calculate the prime factors of 9707 and 9712.

Prime Factorization of 9707

Prime factors of 9707 are 17, 571. Prime factorization of 9707 in exponential form is:

9707 = 171 × 5711

Prime Factorization of 9712

Prime factors of 9712 are 2, 607. Prime factorization of 9712 in exponential form is:

9712 = 24 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 9707 and 9712.

LCM(9707,9712) = 171 × 5711 × 24 × 6071
LCM(9707,9712) = 94274384