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What is the Least Common Multiple of 25474 and 25485?

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 25474 and 25485 is 649204890.

LCM(25474,25485) = 649204890

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Least Common Multiple of 25474 and 25485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25474 and 25485, than apply into the LCM equation.

GCF(25474,25485) = 1
LCM(25474,25485) = ( 25474 × 25485) / 1
LCM(25474,25485) = 649204890 / 1
LCM(25474,25485) = 649204890

Least Common Multiple (LCM) of 25474 and 25485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25474 and 25485. First we will calculate the prime factors of 25474 and 25485.

Prime Factorization of 25474

Prime factors of 25474 are 2, 47, 271. Prime factorization of 25474 in exponential form is:

25474 = 21 × 471 × 2711

Prime Factorization of 25485

Prime factors of 25485 are 3, 5, 1699. Prime factorization of 25485 in exponential form is:

25485 = 31 × 51 × 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 25474 and 25485.

LCM(25474,25485) = 21 × 471 × 2711 × 31 × 51 × 16991
LCM(25474,25485) = 649204890