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What is the Least Common Multiple of 50242 and 50260?

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 50242 and 50260 is 1262581460.

LCM(50242,50260) = 1262581460

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Least Common Multiple of 50242 and 50260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50242 and 50260, than apply into the LCM equation.

GCF(50242,50260) = 2
LCM(50242,50260) = ( 50242 × 50260) / 2
LCM(50242,50260) = 2525162920 / 2
LCM(50242,50260) = 1262581460

Least Common Multiple (LCM) of 50242 and 50260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50242 and 50260. First we will calculate the prime factors of 50242 and 50260.

Prime Factorization of 50242

Prime factors of 50242 are 2, 25121. Prime factorization of 50242 in exponential form is:

50242 = 21 × 251211

Prime Factorization of 50260

Prime factors of 50260 are 2, 5, 7, 359. Prime factorization of 50260 in exponential form is:

50260 = 22 × 51 × 71 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 50242 and 50260.

LCM(50242,50260) = 22 × 251211 × 51 × 71 × 3591
LCM(50242,50260) = 1262581460