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What is the Least Common Multiple of 25783 and 25788?

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 25783 and 25788 is 664892004.

LCM(25783,25788) = 664892004

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Least Common Multiple of 25783 and 25788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25783 and 25788, than apply into the LCM equation.

GCF(25783,25788) = 1
LCM(25783,25788) = ( 25783 × 25788) / 1
LCM(25783,25788) = 664892004 / 1
LCM(25783,25788) = 664892004

Least Common Multiple (LCM) of 25783 and 25788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25783 and 25788. First we will calculate the prime factors of 25783 and 25788.

Prime Factorization of 25783

Prime factors of 25783 are 19, 23, 59. Prime factorization of 25783 in exponential form is:

25783 = 191 × 231 × 591

Prime Factorization of 25788

Prime factors of 25788 are 2, 3, 7, 307. Prime factorization of 25788 in exponential form is:

25788 = 22 × 31 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 25783 and 25788.

LCM(25783,25788) = 191 × 231 × 591 × 22 × 31 × 71 × 3071
LCM(25783,25788) = 664892004