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What is the Least Common Multiple of 68057 and 68077?

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 68057 and 68077 is 4633116389.

LCM(68057,68077) = 4633116389

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Least Common Multiple of 68057 and 68077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68057 and 68077, than apply into the LCM equation.

GCF(68057,68077) = 1
LCM(68057,68077) = ( 68057 × 68077) / 1
LCM(68057,68077) = 4633116389 / 1
LCM(68057,68077) = 4633116389

Least Common Multiple (LCM) of 68057 and 68077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68057 and 68077. First we will calculate the prime factors of 68057 and 68077.

Prime Factorization of 68057

Prime factors of 68057 are 11, 23, 269. Prime factorization of 68057 in exponential form is:

68057 = 111 × 231 × 2691

Prime Factorization of 68077

Prime factors of 68077 are 19, 3583. Prime factorization of 68077 in exponential form is:

68077 = 191 × 35831

Now multiplying the highest exponent prime factors to calculate the LCM of 68057 and 68077.

LCM(68057,68077) = 111 × 231 × 2691 × 191 × 35831
LCM(68057,68077) = 4633116389