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What is the Least Common Multiple of 67399 and 67418?

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 67399 and 67418 is 4543905782.

LCM(67399,67418) = 4543905782

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Least Common Multiple of 67399 and 67418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67399 and 67418, than apply into the LCM equation.

GCF(67399,67418) = 1
LCM(67399,67418) = ( 67399 × 67418) / 1
LCM(67399,67418) = 4543905782 / 1
LCM(67399,67418) = 4543905782

Least Common Multiple (LCM) of 67399 and 67418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67399 and 67418. First we will calculate the prime factors of 67399 and 67418.

Prime Factorization of 67399

Prime factors of 67399 are 67399. Prime factorization of 67399 in exponential form is:

67399 = 673991

Prime Factorization of 67418

Prime factors of 67418 are 2, 13, 2593. Prime factorization of 67418 in exponential form is:

67418 = 21 × 131 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 67399 and 67418.

LCM(67399,67418) = 673991 × 21 × 131 × 25931
LCM(67399,67418) = 4543905782