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What is the Least Common Multiple of 25713 and 25729?

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 25713 and 25729 is 661569777.

LCM(25713,25729) = 661569777

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Least Common Multiple of 25713 and 25729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25713 and 25729, than apply into the LCM equation.

GCF(25713,25729) = 1
LCM(25713,25729) = ( 25713 × 25729) / 1
LCM(25713,25729) = 661569777 / 1
LCM(25713,25729) = 661569777

Least Common Multiple (LCM) of 25713 and 25729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25713 and 25729. First we will calculate the prime factors of 25713 and 25729.

Prime Factorization of 25713

Prime factors of 25713 are 3, 2857. Prime factorization of 25713 in exponential form is:

25713 = 32 × 28571

Prime Factorization of 25729

Prime factors of 25729 are 11, 2339. Prime factorization of 25729 in exponential form is:

25729 = 111 × 23391

Now multiplying the highest exponent prime factors to calculate the LCM of 25713 and 25729.

LCM(25713,25729) = 32 × 28571 × 111 × 23391
LCM(25713,25729) = 661569777