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What is the Least Common Multiple of 50896 and 50903?

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 50896 and 50903 is 2590759088.

LCM(50896,50903) = 2590759088

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Least Common Multiple of 50896 and 50903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50896 and 50903, than apply into the LCM equation.

GCF(50896,50903) = 1
LCM(50896,50903) = ( 50896 × 50903) / 1
LCM(50896,50903) = 2590759088 / 1
LCM(50896,50903) = 2590759088

Least Common Multiple (LCM) of 50896 and 50903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50896 and 50903. First we will calculate the prime factors of 50896 and 50903.

Prime Factorization of 50896

Prime factors of 50896 are 2, 3181. Prime factorization of 50896 in exponential form is:

50896 = 24 × 31811

Prime Factorization of 50903

Prime factors of 50903 are 109, 467. Prime factorization of 50903 in exponential form is:

50903 = 1091 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 50896 and 50903.

LCM(50896,50903) = 24 × 31811 × 1091 × 4671
LCM(50896,50903) = 2590759088