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What is the Least Common Multiple of 25434 and 25440?

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 25434 and 25440 is 107840160.

LCM(25434,25440) = 107840160

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Least Common Multiple of 25434 and 25440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25434 and 25440, than apply into the LCM equation.

GCF(25434,25440) = 6
LCM(25434,25440) = ( 25434 × 25440) / 6
LCM(25434,25440) = 647040960 / 6
LCM(25434,25440) = 107840160

Least Common Multiple (LCM) of 25434 and 25440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25434 and 25440. First we will calculate the prime factors of 25434 and 25440.

Prime Factorization of 25434

Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:

25434 = 21 × 34 × 1571

Prime Factorization of 25440

Prime factors of 25440 are 2, 3, 5, 53. Prime factorization of 25440 in exponential form is:

25440 = 25 × 31 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 25434 and 25440.

LCM(25434,25440) = 25 × 34 × 1571 × 51 × 531
LCM(25434,25440) = 107840160