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What is the Least Common Multiple of 76935 and 76943?

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 76935 and 76943 is 5919609705.

LCM(76935,76943) = 5919609705

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Least Common Multiple of 76935 and 76943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76935 and 76943, than apply into the LCM equation.

GCF(76935,76943) = 1
LCM(76935,76943) = ( 76935 × 76943) / 1
LCM(76935,76943) = 5919609705 / 1
LCM(76935,76943) = 5919609705

Least Common Multiple (LCM) of 76935 and 76943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76935 and 76943. First we will calculate the prime factors of 76935 and 76943.

Prime Factorization of 76935

Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:

76935 = 31 × 51 × 231 × 2231

Prime Factorization of 76943

Prime factors of 76943 are 76943. Prime factorization of 76943 in exponential form is:

76943 = 769431

Now multiplying the highest exponent prime factors to calculate the LCM of 76935 and 76943.

LCM(76935,76943) = 31 × 51 × 231 × 2231 × 769431
LCM(76935,76943) = 5919609705