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What is the Least Common Multiple of 68685 and 68696?

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 68685 and 68696 is 4718384760.

LCM(68685,68696) = 4718384760

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Least Common Multiple of 68685 and 68696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68685 and 68696, than apply into the LCM equation.

GCF(68685,68696) = 1
LCM(68685,68696) = ( 68685 × 68696) / 1
LCM(68685,68696) = 4718384760 / 1
LCM(68685,68696) = 4718384760

Least Common Multiple (LCM) of 68685 and 68696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68696. First we will calculate the prime factors of 68685 and 68696.

Prime Factorization of 68685

Prime factors of 68685 are 3, 5, 19, 241. Prime factorization of 68685 in exponential form is:

68685 = 31 × 51 × 191 × 2411

Prime Factorization of 68696

Prime factors of 68696 are 2, 31, 277. Prime factorization of 68696 in exponential form is:

68696 = 23 × 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68696.

LCM(68685,68696) = 31 × 51 × 191 × 2411 × 23 × 311 × 2771
LCM(68685,68696) = 4718384760