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What is the Least Common Multiple of 50893 and 50908?

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 50893 and 50908 is 2590860844.

LCM(50893,50908) = 2590860844

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Least Common Multiple of 50893 and 50908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50893 and 50908, than apply into the LCM equation.

GCF(50893,50908) = 1
LCM(50893,50908) = ( 50893 × 50908) / 1
LCM(50893,50908) = 2590860844 / 1
LCM(50893,50908) = 2590860844

Least Common Multiple (LCM) of 50893 and 50908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50893 and 50908. First we will calculate the prime factors of 50893 and 50908.

Prime Factorization of 50893

Prime factors of 50893 are 50893. Prime factorization of 50893 in exponential form is:

50893 = 508931

Prime Factorization of 50908

Prime factors of 50908 are 2, 11, 13, 89. Prime factorization of 50908 in exponential form is:

50908 = 22 × 111 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 50893 and 50908.

LCM(50893,50908) = 508931 × 22 × 111 × 131 × 891
LCM(50893,50908) = 2590860844