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What is the Least Common Multiple of 68721 and 68730?

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 68721 and 68730 is 1574398110.

LCM(68721,68730) = 1574398110

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Least Common Multiple of 68721 and 68730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68721 and 68730, than apply into the LCM equation.

GCF(68721,68730) = 3
LCM(68721,68730) = ( 68721 × 68730) / 3
LCM(68721,68730) = 4723194330 / 3
LCM(68721,68730) = 1574398110

Least Common Multiple (LCM) of 68721 and 68730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68721 and 68730. First we will calculate the prime factors of 68721 and 68730.

Prime Factorization of 68721

Prime factors of 68721 are 3, 22907. Prime factorization of 68721 in exponential form is:

68721 = 31 × 229071

Prime Factorization of 68730

Prime factors of 68730 are 2, 3, 5, 29, 79. Prime factorization of 68730 in exponential form is:

68730 = 21 × 31 × 51 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 68721 and 68730.

LCM(68721,68730) = 31 × 229071 × 21 × 51 × 291 × 791
LCM(68721,68730) = 1574398110