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What is the Least Common Multiple of 68398 and 68417?

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 68398 and 68417 is 4679585966.

LCM(68398,68417) = 4679585966

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Least Common Multiple of 68398 and 68417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68398 and 68417, than apply into the LCM equation.

GCF(68398,68417) = 1
LCM(68398,68417) = ( 68398 × 68417) / 1
LCM(68398,68417) = 4679585966 / 1
LCM(68398,68417) = 4679585966

Least Common Multiple (LCM) of 68398 and 68417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68398 and 68417. First we will calculate the prime factors of 68398 and 68417.

Prime Factorization of 68398

Prime factors of 68398 are 2, 11, 3109. Prime factorization of 68398 in exponential form is:

68398 = 21 × 111 × 31091

Prime Factorization of 68417

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

68417 = 311 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 68398 and 68417.

LCM(68398,68417) = 21 × 111 × 31091 × 311 × 22071
LCM(68398,68417) = 4679585966