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What is the Least Common Multiple of 25277 and 25290?

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 25277 and 25290 is 639255330.

LCM(25277,25290) = 639255330

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Least Common Multiple of 25277 and 25290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25277 and 25290, than apply into the LCM equation.

GCF(25277,25290) = 1
LCM(25277,25290) = ( 25277 × 25290) / 1
LCM(25277,25290) = 639255330 / 1
LCM(25277,25290) = 639255330

Least Common Multiple (LCM) of 25277 and 25290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25277 and 25290. First we will calculate the prime factors of 25277 and 25290.

Prime Factorization of 25277

Prime factors of 25277 are 7, 23, 157. Prime factorization of 25277 in exponential form is:

25277 = 71 × 231 × 1571

Prime Factorization of 25290

Prime factors of 25290 are 2, 3, 5, 281. Prime factorization of 25290 in exponential form is:

25290 = 21 × 32 × 51 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 25277 and 25290.

LCM(25277,25290) = 71 × 231 × 1571 × 21 × 32 × 51 × 2811
LCM(25277,25290) = 639255330