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What is the Least Common Multiple of 68685 and 68705?

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 68705 is 943800585.

LCM(68685,68705) = 943800585

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Least Common Multiple of 68685 and 68705 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 68705, than apply into the LCM equation.

GCF(68685,68705) = 5
LCM(68685,68705) = ( 68685 × 68705) / 5
LCM(68685,68705) = 4719002925 / 5
LCM(68685,68705) = 943800585

Least Common Multiple (LCM) of 68685 and 68705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68685 and 68705. First we will calculate the prime factors of 68685 and 68705.

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 68705

Prime factors of 68705 are 5, 7, 13, 151. Prime factorization of 68705 in exponential form is:

68705 = 51 × 71 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 68685 and 68705.

LCM(68685,68705) = 31 × 51 × 191 × 2411 × 71 × 131 × 1511
LCM(68685,68705) = 943800585