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What is the Least Common Multiple of 68458 and 68474?

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 68458 and 68474 is 2343796546.

LCM(68458,68474) = 2343796546

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Least Common Multiple of 68458 and 68474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68458 and 68474, than apply into the LCM equation.

GCF(68458,68474) = 2
LCM(68458,68474) = ( 68458 × 68474) / 2
LCM(68458,68474) = 4687593092 / 2
LCM(68458,68474) = 2343796546

Least Common Multiple (LCM) of 68458 and 68474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68458 and 68474. First we will calculate the prime factors of 68458 and 68474.

Prime Factorization of 68458

Prime factors of 68458 are 2, 13, 2633. Prime factorization of 68458 in exponential form is:

68458 = 21 × 131 × 26331

Prime Factorization of 68474

Prime factors of 68474 are 2, 7, 67, 73. Prime factorization of 68474 in exponential form is:

68474 = 21 × 71 × 671 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 68458 and 68474.

LCM(68458,68474) = 21 × 131 × 26331 × 71 × 671 × 731
LCM(68458,68474) = 2343796546