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What is the Least Common Multiple of 25890 and 25905?

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 25890 and 25905 is 44712030.

LCM(25890,25905) = 44712030

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Least Common Multiple of 25890 and 25905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25890 and 25905, than apply into the LCM equation.

GCF(25890,25905) = 15
LCM(25890,25905) = ( 25890 × 25905) / 15
LCM(25890,25905) = 670680450 / 15
LCM(25890,25905) = 44712030

Least Common Multiple (LCM) of 25890 and 25905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25890 and 25905. First we will calculate the prime factors of 25890 and 25905.

Prime Factorization of 25890

Prime factors of 25890 are 2, 3, 5, 863. Prime factorization of 25890 in exponential form is:

25890 = 21 × 31 × 51 × 8631

Prime Factorization of 25905

Prime factors of 25905 are 3, 5, 11, 157. Prime factorization of 25905 in exponential form is:

25905 = 31 × 51 × 111 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 25890 and 25905.

LCM(25890,25905) = 21 × 31 × 51 × 8631 × 111 × 1571
LCM(25890,25905) = 44712030