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What is the Least Common Multiple of 52927 and 52936?

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 52927 and 52936 is 2801743672.

LCM(52927,52936) = 2801743672

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Least Common Multiple of 52927 and 52936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52927 and 52936, than apply into the LCM equation.

GCF(52927,52936) = 1
LCM(52927,52936) = ( 52927 × 52936) / 1
LCM(52927,52936) = 2801743672 / 1
LCM(52927,52936) = 2801743672

Least Common Multiple (LCM) of 52927 and 52936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52927 and 52936. First we will calculate the prime factors of 52927 and 52936.

Prime Factorization of 52927

Prime factors of 52927 are 7, 7561. Prime factorization of 52927 in exponential form is:

52927 = 71 × 75611

Prime Factorization of 52936

Prime factors of 52936 are 2, 13, 509. Prime factorization of 52936 in exponential form is:

52936 = 23 × 131 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 52927 and 52936.

LCM(52927,52936) = 71 × 75611 × 23 × 131 × 5091
LCM(52927,52936) = 2801743672