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What is the Least Common Multiple of 51955 and 51968?

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 51955 and 51968 is 2699997440.

LCM(51955,51968) = 2699997440

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Least Common Multiple of 51955 and 51968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51955 and 51968, than apply into the LCM equation.

GCF(51955,51968) = 1
LCM(51955,51968) = ( 51955 × 51968) / 1
LCM(51955,51968) = 2699997440 / 1
LCM(51955,51968) = 2699997440

Least Common Multiple (LCM) of 51955 and 51968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51955 and 51968. First we will calculate the prime factors of 51955 and 51968.

Prime Factorization of 51955

Prime factors of 51955 are 5, 10391. Prime factorization of 51955 in exponential form is:

51955 = 51 × 103911

Prime Factorization of 51968

Prime factors of 51968 are 2, 7, 29. Prime factorization of 51968 in exponential form is:

51968 = 28 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 51955 and 51968.

LCM(51955,51968) = 51 × 103911 × 28 × 71 × 291
LCM(51955,51968) = 2699997440