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What is the Least Common Multiple of 50747 and 50755?

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 50747 and 50755 is 2575663985.

LCM(50747,50755) = 2575663985

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Least Common Multiple of 50747 and 50755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50747 and 50755, than apply into the LCM equation.

GCF(50747,50755) = 1
LCM(50747,50755) = ( 50747 × 50755) / 1
LCM(50747,50755) = 2575663985 / 1
LCM(50747,50755) = 2575663985

Least Common Multiple (LCM) of 50747 and 50755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50747 and 50755. First we will calculate the prime factors of 50747 and 50755.

Prime Factorization of 50747

Prime factors of 50747 are 31, 1637. Prime factorization of 50747 in exponential form is:

50747 = 311 × 16371

Prime Factorization of 50755

Prime factors of 50755 are 5, 10151. Prime factorization of 50755 in exponential form is:

50755 = 51 × 101511

Now multiplying the highest exponent prime factors to calculate the LCM of 50747 and 50755.

LCM(50747,50755) = 311 × 16371 × 51 × 101511
LCM(50747,50755) = 2575663985