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What is the Least Common Multiple of 68417 and 68424?

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 68424 is 4681364808.

LCM(68417,68424) = 4681364808

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Least Common Multiple of 68417 and 68424 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 68424, than apply into the LCM equation.

GCF(68417,68424) = 1
LCM(68417,68424) = ( 68417 × 68424) / 1
LCM(68417,68424) = 4681364808 / 1
LCM(68417,68424) = 4681364808

Least Common Multiple (LCM) of 68417 and 68424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68417 and 68424. First we will calculate the prime factors of 68417 and 68424.

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 68424

Prime factors of 68424 are 2, 3, 2851. Prime factorization of 68424 in exponential form is:

68424 = 23 × 31 × 28511

Now multiplying the highest exponent prime factors to calculate the LCM of 68417 and 68424.

LCM(68417,68424) = 311 × 22071 × 23 × 31 × 28511
LCM(68417,68424) = 4681364808