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What is the Least Common Multiple of 8723 and 8734?

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 8723 and 8734 is 6926062.

LCM(8723,8734) = 6926062

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Least Common Multiple of 8723 and 8734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8723 and 8734, than apply into the LCM equation.

GCF(8723,8734) = 11
LCM(8723,8734) = ( 8723 × 8734) / 11
LCM(8723,8734) = 76186682 / 11
LCM(8723,8734) = 6926062

Least Common Multiple (LCM) of 8723 and 8734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8723 and 8734. First we will calculate the prime factors of 8723 and 8734.

Prime Factorization of 8723

Prime factors of 8723 are 11, 13, 61. Prime factorization of 8723 in exponential form is:

8723 = 111 × 131 × 611

Prime Factorization of 8734

Prime factors of 8734 are 2, 11, 397. Prime factorization of 8734 in exponential form is:

8734 = 21 × 111 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 8723 and 8734.

LCM(8723,8734) = 111 × 131 × 611 × 21 × 3971
LCM(8723,8734) = 6926062