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What is the Least Common Multiple of 50645 and 50657?

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 50645 and 50657 is 2565523765.

LCM(50645,50657) = 2565523765

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Least Common Multiple of 50645 and 50657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50645 and 50657, than apply into the LCM equation.

GCF(50645,50657) = 1
LCM(50645,50657) = ( 50645 × 50657) / 1
LCM(50645,50657) = 2565523765 / 1
LCM(50645,50657) = 2565523765

Least Common Multiple (LCM) of 50645 and 50657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50645 and 50657. First we will calculate the prime factors of 50645 and 50657.

Prime Factorization of 50645

Prime factors of 50645 are 5, 7, 1447. Prime factorization of 50645 in exponential form is:

50645 = 51 × 71 × 14471

Prime Factorization of 50657

Prime factors of 50657 are 179, 283. Prime factorization of 50657 in exponential form is:

50657 = 1791 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 50645 and 50657.

LCM(50645,50657) = 51 × 71 × 14471 × 1791 × 2831
LCM(50645,50657) = 2565523765