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What is the Least Common Multiple of 48917 and 48937?

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 48917 and 48937 is 2393851229.

LCM(48917,48937) = 2393851229

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Least Common Multiple of 48917 and 48937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48917 and 48937, than apply into the LCM equation.

GCF(48917,48937) = 1
LCM(48917,48937) = ( 48917 × 48937) / 1
LCM(48917,48937) = 2393851229 / 1
LCM(48917,48937) = 2393851229

Least Common Multiple (LCM) of 48917 and 48937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48917 and 48937. First we will calculate the prime factors of 48917 and 48937.

Prime Factorization of 48917

Prime factors of 48917 are 11, 4447. Prime factorization of 48917 in exponential form is:

48917 = 111 × 44471

Prime Factorization of 48937

Prime factors of 48937 are 7, 6991. Prime factorization of 48937 in exponential form is:

48937 = 71 × 69911

Now multiplying the highest exponent prime factors to calculate the LCM of 48917 and 48937.

LCM(48917,48937) = 111 × 44471 × 71 × 69911
LCM(48917,48937) = 2393851229