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What is the Least Common Multiple of 25850 and 25860?

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 25850 and 25860 is 66848100.

LCM(25850,25860) = 66848100

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Least Common Multiple of 25850 and 25860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25850 and 25860, than apply into the LCM equation.

GCF(25850,25860) = 10
LCM(25850,25860) = ( 25850 × 25860) / 10
LCM(25850,25860) = 668481000 / 10
LCM(25850,25860) = 66848100

Least Common Multiple (LCM) of 25850 and 25860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25850 and 25860. First we will calculate the prime factors of 25850 and 25860.

Prime Factorization of 25850

Prime factors of 25850 are 2, 5, 11, 47. Prime factorization of 25850 in exponential form is:

25850 = 21 × 52 × 111 × 471

Prime Factorization of 25860

Prime factors of 25860 are 2, 3, 5, 431. Prime factorization of 25860 in exponential form is:

25860 = 22 × 31 × 51 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 25850 and 25860.

LCM(25850,25860) = 22 × 52 × 111 × 471 × 31 × 4311
LCM(25850,25860) = 66848100