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What is the Least Common Multiple of 67396 and 67414?

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 67396 and 67414 is 2271716972.

LCM(67396,67414) = 2271716972

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Least Common Multiple of 67396 and 67414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67396 and 67414, than apply into the LCM equation.

GCF(67396,67414) = 2
LCM(67396,67414) = ( 67396 × 67414) / 2
LCM(67396,67414) = 4543433944 / 2
LCM(67396,67414) = 2271716972

Least Common Multiple (LCM) of 67396 and 67414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67396 and 67414. First we will calculate the prime factors of 67396 and 67414.

Prime Factorization of 67396

Prime factors of 67396 are 2, 7, 29, 83. Prime factorization of 67396 in exponential form is:

67396 = 22 × 71 × 291 × 831

Prime Factorization of 67414

Prime factors of 67414 are 2, 37, 911. Prime factorization of 67414 in exponential form is:

67414 = 21 × 371 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 67396 and 67414.

LCM(67396,67414) = 22 × 71 × 291 × 831 × 371 × 9111
LCM(67396,67414) = 2271716972