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What is the Least Common Multiple of 12242 and 12251?

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 12251 is 149976742.

LCM(12242,12251) = 149976742

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Least Common Multiple of 12242 and 12251 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 12251, than apply into the LCM equation.

GCF(12242,12251) = 1
LCM(12242,12251) = ( 12242 × 12251) / 1
LCM(12242,12251) = 149976742 / 1
LCM(12242,12251) = 149976742

Least Common Multiple (LCM) of 12242 and 12251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12242 and 12251. First we will calculate the prime factors of 12242 and 12251.

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 12251

Prime factors of 12251 are 12251. Prime factorization of 12251 in exponential form is:

12251 = 122511

Now multiplying the highest exponent prime factors to calculate the LCM of 12242 and 12251.

LCM(12242,12251) = 21 × 61211 × 122511
LCM(12242,12251) = 149976742