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What is the Least Common Multiple of 68482 and 68487?

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 68482 and 68487 is 4690126734.

LCM(68482,68487) = 4690126734

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Least Common Multiple of 68482 and 68487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68482 and 68487, than apply into the LCM equation.

GCF(68482,68487) = 1
LCM(68482,68487) = ( 68482 × 68487) / 1
LCM(68482,68487) = 4690126734 / 1
LCM(68482,68487) = 4690126734

Least Common Multiple (LCM) of 68482 and 68487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68482 and 68487. First we will calculate the prime factors of 68482 and 68487.

Prime Factorization of 68482

Prime factors of 68482 are 2, 97, 353. Prime factorization of 68482 in exponential form is:

68482 = 21 × 971 × 3531

Prime Factorization of 68487

Prime factors of 68487 are 3, 37, 617. Prime factorization of 68487 in exponential form is:

68487 = 31 × 371 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 68482 and 68487.

LCM(68482,68487) = 21 × 971 × 3531 × 31 × 371 × 6171
LCM(68482,68487) = 4690126734