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What is the Least Common Multiple of 50637 and 50655?

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 50637 and 50655 is 855005745.

LCM(50637,50655) = 855005745

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Least Common Multiple of 50637 and 50655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50637 and 50655, than apply into the LCM equation.

GCF(50637,50655) = 3
LCM(50637,50655) = ( 50637 × 50655) / 3
LCM(50637,50655) = 2565017235 / 3
LCM(50637,50655) = 855005745

Least Common Multiple (LCM) of 50637 and 50655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50637 and 50655. First we will calculate the prime factors of 50637 and 50655.

Prime Factorization of 50637

Prime factors of 50637 are 3, 16879. Prime factorization of 50637 in exponential form is:

50637 = 31 × 168791

Prime Factorization of 50655

Prime factors of 50655 are 3, 5, 11, 307. Prime factorization of 50655 in exponential form is:

50655 = 31 × 51 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 50637 and 50655.

LCM(50637,50655) = 31 × 168791 × 51 × 111 × 3071
LCM(50637,50655) = 855005745