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What is the Least Common Multiple of 25221 and 25234?

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 25221 and 25234 is 636426714.

LCM(25221,25234) = 636426714

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Least Common Multiple of 25221 and 25234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25221 and 25234, than apply into the LCM equation.

GCF(25221,25234) = 1
LCM(25221,25234) = ( 25221 × 25234) / 1
LCM(25221,25234) = 636426714 / 1
LCM(25221,25234) = 636426714

Least Common Multiple (LCM) of 25221 and 25234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25221 and 25234. First we will calculate the prime factors of 25221 and 25234.

Prime Factorization of 25221

Prime factors of 25221 are 3, 7, 1201. Prime factorization of 25221 in exponential form is:

25221 = 31 × 71 × 12011

Prime Factorization of 25234

Prime factors of 25234 are 2, 11, 31, 37. Prime factorization of 25234 in exponential form is:

25234 = 21 × 111 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 25221 and 25234.

LCM(25221,25234) = 31 × 71 × 12011 × 21 × 111 × 311 × 371
LCM(25221,25234) = 636426714