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What is the Least Common Multiple of 68655 and 68667?

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 68655 and 68667 is 1571444295.

LCM(68655,68667) = 1571444295

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Least Common Multiple of 68655 and 68667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68655 and 68667, than apply into the LCM equation.

GCF(68655,68667) = 3
LCM(68655,68667) = ( 68655 × 68667) / 3
LCM(68655,68667) = 4714332885 / 3
LCM(68655,68667) = 1571444295

Least Common Multiple (LCM) of 68655 and 68667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68655 and 68667. First we will calculate the prime factors of 68655 and 68667.

Prime Factorization of 68655

Prime factors of 68655 are 3, 5, 23, 199. Prime factorization of 68655 in exponential form is:

68655 = 31 × 51 × 231 × 1991

Prime Factorization of 68667

Prime factors of 68667 are 3, 47, 487. Prime factorization of 68667 in exponential form is:

68667 = 31 × 471 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 68655 and 68667.

LCM(68655,68667) = 31 × 51 × 231 × 1991 × 471 × 4871
LCM(68655,68667) = 1571444295