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What is the Least Common Multiple of 53927 and 53931?

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 53927 and 53931 is 2908337037.

LCM(53927,53931) = 2908337037

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Least Common Multiple of 53927 and 53931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53927 and 53931, than apply into the LCM equation.

GCF(53927,53931) = 1
LCM(53927,53931) = ( 53927 × 53931) / 1
LCM(53927,53931) = 2908337037 / 1
LCM(53927,53931) = 2908337037

Least Common Multiple (LCM) of 53927 and 53931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53927 and 53931. First we will calculate the prime factors of 53927 and 53931.

Prime Factorization of 53927

Prime factors of 53927 are 53927. Prime factorization of 53927 in exponential form is:

53927 = 539271

Prime Factorization of 53931

Prime factors of 53931 are 3, 17977. Prime factorization of 53931 in exponential form is:

53931 = 31 × 179771

Now multiplying the highest exponent prime factors to calculate the LCM of 53927 and 53931.

LCM(53927,53931) = 539271 × 31 × 179771
LCM(53927,53931) = 2908337037