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What is the Least Common Multiple of 50737 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 50737 and 50755 is 2575156435.

LCM(50737,50755) = 2575156435

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Least Common Multiple of 50737 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 50737 and 50755, than apply into the LCM equation.

GCF(50737,50755) = 1
LCM(50737,50755) = ( 50737 × 50755) / 1
LCM(50737,50755) = 2575156435 / 1
LCM(50737,50755) = 2575156435

Least Common Multiple (LCM) of 50737 and 50755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50737 and 50755. First we will calculate the prime factors of 50737 and 50755.

Prime Factorization of 50737

Prime factors of 50737 are 113, 449. Prime factorization of 50737 in exponential form is:

50737 = 1131 × 4491

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 50737 and 50755.

LCM(50737,50755) = 1131 × 4491 × 51 × 101511
LCM(50737,50755) = 2575156435