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What is the Least Common Multiple of 4262 and 4275?

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 4262 and 4275 is 18220050.

LCM(4262,4275) = 18220050

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Least Common Multiple of 4262 and 4275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4262 and 4275, than apply into the LCM equation.

GCF(4262,4275) = 1
LCM(4262,4275) = ( 4262 × 4275) / 1
LCM(4262,4275) = 18220050 / 1
LCM(4262,4275) = 18220050

Least Common Multiple (LCM) of 4262 and 4275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4275. First we will calculate the prime factors of 4262 and 4275.

Prime Factorization of 4262

Prime factors of 4262 are 2, 2131. Prime factorization of 4262 in exponential form is:

4262 = 21 × 21311

Prime Factorization of 4275

Prime factors of 4275 are 3, 5, 19. Prime factorization of 4275 in exponential form is:

4275 = 32 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4262 and 4275.

LCM(4262,4275) = 21 × 21311 × 32 × 52 × 191
LCM(4262,4275) = 18220050