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What is the Least Common Multiple of 25530 and 25538?

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 25530 and 25538 is 325992570.

LCM(25530,25538) = 325992570

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Least Common Multiple of 25530 and 25538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25530 and 25538, than apply into the LCM equation.

GCF(25530,25538) = 2
LCM(25530,25538) = ( 25530 × 25538) / 2
LCM(25530,25538) = 651985140 / 2
LCM(25530,25538) = 325992570

Least Common Multiple (LCM) of 25530 and 25538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25530 and 25538. First we will calculate the prime factors of 25530 and 25538.

Prime Factorization of 25530

Prime factors of 25530 are 2, 3, 5, 23, 37. Prime factorization of 25530 in exponential form is:

25530 = 21 × 31 × 51 × 231 × 371

Prime Factorization of 25538

Prime factors of 25538 are 2, 113. Prime factorization of 25538 in exponential form is:

25538 = 21 × 1132

Now multiplying the highest exponent prime factors to calculate the LCM of 25530 and 25538.

LCM(25530,25538) = 21 × 31 × 51 × 231 × 371 × 1132
LCM(25530,25538) = 325992570