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What is the Least Common Multiple of 68929 and 68933?

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 68929 and 68933 is 4751482757.

LCM(68929,68933) = 4751482757

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Least Common Multiple of 68929 and 68933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68929 and 68933, than apply into the LCM equation.

GCF(68929,68933) = 1
LCM(68929,68933) = ( 68929 × 68933) / 1
LCM(68929,68933) = 4751482757 / 1
LCM(68929,68933) = 4751482757

Least Common Multiple (LCM) of 68929 and 68933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68929 and 68933. First we will calculate the prime factors of 68929 and 68933.

Prime Factorization of 68929

Prime factors of 68929 are 7, 43, 229. Prime factorization of 68929 in exponential form is:

68929 = 71 × 431 × 2291

Prime Factorization of 68933

Prime factors of 68933 are 29, 2377. Prime factorization of 68933 in exponential form is:

68933 = 291 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 68929 and 68933.

LCM(68929,68933) = 71 × 431 × 2291 × 291 × 23771
LCM(68929,68933) = 4751482757