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What is the Least Common Multiple of 25262 and 25270?

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 25262 and 25270 is 319185370.

LCM(25262,25270) = 319185370

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Least Common Multiple of 25262 and 25270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25262 and 25270, than apply into the LCM equation.

GCF(25262,25270) = 2
LCM(25262,25270) = ( 25262 × 25270) / 2
LCM(25262,25270) = 638370740 / 2
LCM(25262,25270) = 319185370

Least Common Multiple (LCM) of 25262 and 25270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25262 and 25270. First we will calculate the prime factors of 25262 and 25270.

Prime Factorization of 25262

Prime factors of 25262 are 2, 17, 743. Prime factorization of 25262 in exponential form is:

25262 = 21 × 171 × 7431

Prime Factorization of 25270

Prime factors of 25270 are 2, 5, 7, 19. Prime factorization of 25270 in exponential form is:

25270 = 21 × 51 × 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 25262 and 25270.

LCM(25262,25270) = 21 × 171 × 7431 × 51 × 71 × 192
LCM(25262,25270) = 319185370