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What is the Least Common Multiple of 25530 and 25546?

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 25546 is 326094690.

LCM(25530,25546) = 326094690

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Least Common Multiple of 25530 and 25546 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 25546, than apply into the LCM equation.

GCF(25530,25546) = 2
LCM(25530,25546) = ( 25530 × 25546) / 2
LCM(25530,25546) = 652189380 / 2
LCM(25530,25546) = 326094690

Least Common Multiple (LCM) of 25530 and 25546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25530 and 25546. First we will calculate the prime factors of 25530 and 25546.

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 25546

Prime factors of 25546 are 2, 53, 241. Prime factorization of 25546 in exponential form is:

25546 = 21 × 531 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 25530 and 25546.

LCM(25530,25546) = 21 × 31 × 51 × 231 × 371 × 531 × 2411
LCM(25530,25546) = 326094690