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What is the Least Common Multiple of 10734 and 10743?

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 10734 and 10743 is 38438454.

LCM(10734,10743) = 38438454

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Least Common Multiple of 10734 and 10743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10734 and 10743, than apply into the LCM equation.

GCF(10734,10743) = 3
LCM(10734,10743) = ( 10734 × 10743) / 3
LCM(10734,10743) = 115315362 / 3
LCM(10734,10743) = 38438454

Least Common Multiple (LCM) of 10734 and 10743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10734 and 10743. First we will calculate the prime factors of 10734 and 10743.

Prime Factorization of 10734

Prime factors of 10734 are 2, 3, 1789. Prime factorization of 10734 in exponential form is:

10734 = 21 × 31 × 17891

Prime Factorization of 10743

Prime factors of 10743 are 3, 3581. Prime factorization of 10743 in exponential form is:

10743 = 31 × 35811

Now multiplying the highest exponent prime factors to calculate the LCM of 10734 and 10743.

LCM(10734,10743) = 21 × 31 × 17891 × 35811
LCM(10734,10743) = 38438454