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What is the Least Common Multiple of 25880 and 25899?

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 25880 and 25899 is 670266120.

LCM(25880,25899) = 670266120

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Least Common Multiple of 25880 and 25899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25880 and 25899, than apply into the LCM equation.

GCF(25880,25899) = 1
LCM(25880,25899) = ( 25880 × 25899) / 1
LCM(25880,25899) = 670266120 / 1
LCM(25880,25899) = 670266120

Least Common Multiple (LCM) of 25880 and 25899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25880 and 25899. First we will calculate the prime factors of 25880 and 25899.

Prime Factorization of 25880

Prime factors of 25880 are 2, 5, 647. Prime factorization of 25880 in exponential form is:

25880 = 23 × 51 × 6471

Prime Factorization of 25899

Prime factors of 25899 are 3, 89, 97. Prime factorization of 25899 in exponential form is:

25899 = 31 × 891 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 25880 and 25899.

LCM(25880,25899) = 23 × 51 × 6471 × 31 × 891 × 971
LCM(25880,25899) = 670266120