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What is the Least Common Multiple of 68789 and 68805?

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 68789 and 68805 is 4733027145.

LCM(68789,68805) = 4733027145

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Least Common Multiple of 68789 and 68805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68789 and 68805, than apply into the LCM equation.

GCF(68789,68805) = 1
LCM(68789,68805) = ( 68789 × 68805) / 1
LCM(68789,68805) = 4733027145 / 1
LCM(68789,68805) = 4733027145

Least Common Multiple (LCM) of 68789 and 68805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68789 and 68805. First we will calculate the prime factors of 68789 and 68805.

Prime Factorization of 68789

Prime factors of 68789 are 7, 31, 317. Prime factorization of 68789 in exponential form is:

68789 = 71 × 311 × 3171

Prime Factorization of 68805

Prime factors of 68805 are 3, 5, 11, 139. Prime factorization of 68805 in exponential form is:

68805 = 32 × 51 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 68789 and 68805.

LCM(68789,68805) = 71 × 311 × 3171 × 32 × 51 × 111 × 1391
LCM(68789,68805) = 4733027145