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What is the Least Common Multiple of 68685 and 68694?

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 68694 is 1572749130.

LCM(68685,68694) = 1572749130

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Least Common Multiple of 68685 and 68694 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 68694, than apply into the LCM equation.

GCF(68685,68694) = 3
LCM(68685,68694) = ( 68685 × 68694) / 3
LCM(68685,68694) = 4718247390 / 3
LCM(68685,68694) = 1572749130

Least Common Multiple (LCM) of 68685 and 68694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68694. First we will calculate the prime factors of 68685 and 68694.

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 68694

Prime factors of 68694 are 2, 3, 107. Prime factorization of 68694 in exponential form is:

68694 = 21 × 31 × 1072

Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68694.

LCM(68685,68694) = 31 × 51 × 191 × 2411 × 21 × 1072
LCM(68685,68694) = 1572749130