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What is the Least Common Multiple of 67398 and 67409?

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 67398 and 67409 is 4543231782.

LCM(67398,67409) = 4543231782

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Least Common Multiple of 67398 and 67409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67398 and 67409, than apply into the LCM equation.

GCF(67398,67409) = 1
LCM(67398,67409) = ( 67398 × 67409) / 1
LCM(67398,67409) = 4543231782 / 1
LCM(67398,67409) = 4543231782

Least Common Multiple (LCM) of 67398 and 67409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67398 and 67409. First we will calculate the prime factors of 67398 and 67409.

Prime Factorization of 67398

Prime factors of 67398 are 2, 3, 47, 239. Prime factorization of 67398 in exponential form is:

67398 = 21 × 31 × 471 × 2391

Prime Factorization of 67409

Prime factors of 67409 are 67409. Prime factorization of 67409 in exponential form is:

67409 = 674091

Now multiplying the highest exponent prime factors to calculate the LCM of 67398 and 67409.

LCM(67398,67409) = 21 × 31 × 471 × 2391 × 674091
LCM(67398,67409) = 4543231782