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What is the Least Common Multiple of 68417 and 68434?

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 68417 and 68434 is 4682048978.

LCM(68417,68434) = 4682048978

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Least Common Multiple of 68417 and 68434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68417 and 68434, than apply into the LCM equation.

GCF(68417,68434) = 1
LCM(68417,68434) = ( 68417 × 68434) / 1
LCM(68417,68434) = 4682048978 / 1
LCM(68417,68434) = 4682048978

Least Common Multiple (LCM) of 68417 and 68434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68417 and 68434. First we will calculate the prime factors of 68417 and 68434.

Prime Factorization of 68417

Prime factors of 68417 are 31, 2207. Prime factorization of 68417 in exponential form is:

68417 = 311 × 22071

Prime Factorization of 68434

Prime factors of 68434 are 2, 34217. Prime factorization of 68434 in exponential form is:

68434 = 21 × 342171

Now multiplying the highest exponent prime factors to calculate the LCM of 68417 and 68434.

LCM(68417,68434) = 311 × 22071 × 21 × 342171
LCM(68417,68434) = 4682048978