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What is the Least Common Multiple of 12254 and 12262?

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 12254 and 12262 is 75129274.

LCM(12254,12262) = 75129274

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Least Common Multiple of 12254 and 12262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12254 and 12262, than apply into the LCM equation.

GCF(12254,12262) = 2
LCM(12254,12262) = ( 12254 × 12262) / 2
LCM(12254,12262) = 150258548 / 2
LCM(12254,12262) = 75129274

Least Common Multiple (LCM) of 12254 and 12262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12254 and 12262. First we will calculate the prime factors of 12254 and 12262.

Prime Factorization of 12254

Prime factors of 12254 are 2, 11, 557. Prime factorization of 12254 in exponential form is:

12254 = 21 × 111 × 5571

Prime Factorization of 12262

Prime factors of 12262 are 2, 6131. Prime factorization of 12262 in exponential form is:

12262 = 21 × 61311

Now multiplying the highest exponent prime factors to calculate the LCM of 12254 and 12262.

LCM(12254,12262) = 21 × 111 × 5571 × 61311
LCM(12254,12262) = 75129274