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What is the Least Common Multiple of 25630 and 25643?

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 25630 and 25643 is 657230090.

LCM(25630,25643) = 657230090

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Least Common Multiple of 25630 and 25643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25630 and 25643, than apply into the LCM equation.

GCF(25630,25643) = 1
LCM(25630,25643) = ( 25630 × 25643) / 1
LCM(25630,25643) = 657230090 / 1
LCM(25630,25643) = 657230090

Least Common Multiple (LCM) of 25630 and 25643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25630 and 25643. First we will calculate the prime factors of 25630 and 25643.

Prime Factorization of 25630

Prime factors of 25630 are 2, 5, 11, 233. Prime factorization of 25630 in exponential form is:

25630 = 21 × 51 × 111 × 2331

Prime Factorization of 25643

Prime factors of 25643 are 25643. Prime factorization of 25643 in exponential form is:

25643 = 256431

Now multiplying the highest exponent prime factors to calculate the LCM of 25630 and 25643.

LCM(25630,25643) = 21 × 51 × 111 × 2331 × 256431
LCM(25630,25643) = 657230090