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What is the Least Common Multiple of 4251 and 4256?

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 4251 and 4256 is 18092256.

LCM(4251,4256) = 18092256

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Least Common Multiple of 4251 and 4256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4251 and 4256, than apply into the LCM equation.

GCF(4251,4256) = 1
LCM(4251,4256) = ( 4251 × 4256) / 1
LCM(4251,4256) = 18092256 / 1
LCM(4251,4256) = 18092256

Least Common Multiple (LCM) of 4251 and 4256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4251 and 4256. First we will calculate the prime factors of 4251 and 4256.

Prime Factorization of 4251

Prime factors of 4251 are 3, 13, 109. Prime factorization of 4251 in exponential form is:

4251 = 31 × 131 × 1091

Prime Factorization of 4256

Prime factors of 4256 are 2, 7, 19. Prime factorization of 4256 in exponential form is:

4256 = 25 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4251 and 4256.

LCM(4251,4256) = 31 × 131 × 1091 × 25 × 71 × 191
LCM(4251,4256) = 18092256