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What is the Least Common Multiple of 68007 and 68015?

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 68007 and 68015 is 4625496105.

LCM(68007,68015) = 4625496105

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Least Common Multiple of 68007 and 68015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68007 and 68015, than apply into the LCM equation.

GCF(68007,68015) = 1
LCM(68007,68015) = ( 68007 × 68015) / 1
LCM(68007,68015) = 4625496105 / 1
LCM(68007,68015) = 4625496105

Least Common Multiple (LCM) of 68007 and 68015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68007 and 68015. First we will calculate the prime factors of 68007 and 68015.

Prime Factorization of 68007

Prime factors of 68007 are 3, 22669. Prime factorization of 68007 in exponential form is:

68007 = 31 × 226691

Prime Factorization of 68015

Prime factors of 68015 are 5, 61, 223. Prime factorization of 68015 in exponential form is:

68015 = 51 × 611 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 68007 and 68015.

LCM(68007,68015) = 31 × 226691 × 51 × 611 × 2231
LCM(68007,68015) = 4625496105