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What is the Least Common Multiple of 68628 and 68645?

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 68628 and 68645 is 4710969060.

LCM(68628,68645) = 4710969060

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Least Common Multiple of 68628 and 68645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68628 and 68645, than apply into the LCM equation.

GCF(68628,68645) = 1
LCM(68628,68645) = ( 68628 × 68645) / 1
LCM(68628,68645) = 4710969060 / 1
LCM(68628,68645) = 4710969060

Least Common Multiple (LCM) of 68628 and 68645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68628 and 68645. First we will calculate the prime factors of 68628 and 68645.

Prime Factorization of 68628

Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:

68628 = 22 × 31 × 71 × 191 × 431

Prime Factorization of 68645

Prime factors of 68645 are 5, 13729. Prime factorization of 68645 in exponential form is:

68645 = 51 × 137291

Now multiplying the highest exponent prime factors to calculate the LCM of 68628 and 68645.

LCM(68628,68645) = 22 × 31 × 71 × 191 × 431 × 51 × 137291
LCM(68628,68645) = 4710969060