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What is the Least Common Multiple of 10713 and 10723?

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 10713 and 10723 is 114875499.

LCM(10713,10723) = 114875499

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Least Common Multiple of 10713 and 10723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10713 and 10723, than apply into the LCM equation.

GCF(10713,10723) = 1
LCM(10713,10723) = ( 10713 × 10723) / 1
LCM(10713,10723) = 114875499 / 1
LCM(10713,10723) = 114875499

Least Common Multiple (LCM) of 10713 and 10723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10713 and 10723. First we will calculate the prime factors of 10713 and 10723.

Prime Factorization of 10713

Prime factors of 10713 are 3, 3571. Prime factorization of 10713 in exponential form is:

10713 = 31 × 35711

Prime Factorization of 10723

Prime factors of 10723 are 10723. Prime factorization of 10723 in exponential form is:

10723 = 107231

Now multiplying the highest exponent prime factors to calculate the LCM of 10713 and 10723.

LCM(10713,10723) = 31 × 35711 × 107231
LCM(10713,10723) = 114875499