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What is the Least Common Multiple of 25473 and 25489?

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 25473 and 25489 is 649281297.

LCM(25473,25489) = 649281297

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Least Common Multiple of 25473 and 25489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25473 and 25489, than apply into the LCM equation.

GCF(25473,25489) = 1
LCM(25473,25489) = ( 25473 × 25489) / 1
LCM(25473,25489) = 649281297 / 1
LCM(25473,25489) = 649281297

Least Common Multiple (LCM) of 25473 and 25489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25473 and 25489. First we will calculate the prime factors of 25473 and 25489.

Prime Factorization of 25473

Prime factors of 25473 are 3, 7, 1213. Prime factorization of 25473 in exponential form is:

25473 = 31 × 71 × 12131

Prime Factorization of 25489

Prime factors of 25489 are 71, 359. Prime factorization of 25489 in exponential form is:

25489 = 711 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 25473 and 25489.

LCM(25473,25489) = 31 × 71 × 12131 × 711 × 3591
LCM(25473,25489) = 649281297