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What is the Least Common Multiple of 12242 and 12248?

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 12242 and 12248 is 74970008.

LCM(12242,12248) = 74970008

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Least Common Multiple of 12242 and 12248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12242 and 12248, than apply into the LCM equation.

GCF(12242,12248) = 2
LCM(12242,12248) = ( 12242 × 12248) / 2
LCM(12242,12248) = 149940016 / 2
LCM(12242,12248) = 74970008

Least Common Multiple (LCM) of 12242 and 12248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12242 and 12248. First we will calculate the prime factors of 12242 and 12248.

Prime Factorization of 12242

Prime factors of 12242 are 2, 6121. Prime factorization of 12242 in exponential form is:

12242 = 21 × 61211

Prime Factorization of 12248

Prime factors of 12248 are 2, 1531. Prime factorization of 12248 in exponential form is:

12248 = 23 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 12242 and 12248.

LCM(12242,12248) = 23 × 61211 × 15311
LCM(12242,12248) = 74970008