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What is the Least Common Multiple of 25715 and 25730?

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 25715 and 25730 is 132329390.

LCM(25715,25730) = 132329390

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Least Common Multiple of 25715 and 25730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25715 and 25730, than apply into the LCM equation.

GCF(25715,25730) = 5
LCM(25715,25730) = ( 25715 × 25730) / 5
LCM(25715,25730) = 661646950 / 5
LCM(25715,25730) = 132329390

Least Common Multiple (LCM) of 25715 and 25730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25715 and 25730. First we will calculate the prime factors of 25715 and 25730.

Prime Factorization of 25715

Prime factors of 25715 are 5, 37, 139. Prime factorization of 25715 in exponential form is:

25715 = 51 × 371 × 1391

Prime Factorization of 25730

Prime factors of 25730 are 2, 5, 31, 83. Prime factorization of 25730 in exponential form is:

25730 = 21 × 51 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 25715 and 25730.

LCM(25715,25730) = 51 × 371 × 1391 × 21 × 311 × 831
LCM(25715,25730) = 132329390