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What is the Least Common Multiple of 67858 and 67873?

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 67858 and 67873 is 4605726034.

LCM(67858,67873) = 4605726034

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Least Common Multiple of 67858 and 67873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67858 and 67873, than apply into the LCM equation.

GCF(67858,67873) = 1
LCM(67858,67873) = ( 67858 × 67873) / 1
LCM(67858,67873) = 4605726034 / 1
LCM(67858,67873) = 4605726034

Least Common Multiple (LCM) of 67858 and 67873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67858 and 67873. First we will calculate the prime factors of 67858 and 67873.

Prime Factorization of 67858

Prime factors of 67858 are 2, 7, 37, 131. Prime factorization of 67858 in exponential form is:

67858 = 21 × 71 × 371 × 1311

Prime Factorization of 67873

Prime factors of 67873 are 13, 23, 227. Prime factorization of 67873 in exponential form is:

67873 = 131 × 231 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 67858 and 67873.

LCM(67858,67873) = 21 × 71 × 371 × 1311 × 131 × 231 × 2271
LCM(67858,67873) = 4605726034