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What is the Least Common Multiple of 68110 and 68117?

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 68110 and 68117 is 662778410.

LCM(68110,68117) = 662778410

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Least Common Multiple of 68110 and 68117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68110 and 68117, than apply into the LCM equation.

GCF(68110,68117) = 7
LCM(68110,68117) = ( 68110 × 68117) / 7
LCM(68110,68117) = 4639448870 / 7
LCM(68110,68117) = 662778410

Least Common Multiple (LCM) of 68110 and 68117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68110 and 68117. First we will calculate the prime factors of 68110 and 68117.

Prime Factorization of 68110

Prime factors of 68110 are 2, 5, 7, 139. Prime factorization of 68110 in exponential form is:

68110 = 21 × 51 × 72 × 1391

Prime Factorization of 68117

Prime factors of 68117 are 7, 37, 263. Prime factorization of 68117 in exponential form is:

68117 = 71 × 371 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 68110 and 68117.

LCM(68110,68117) = 21 × 51 × 72 × 1391 × 371 × 2631
LCM(68110,68117) = 662778410