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What is the Least Common Multiple of 72353 and 72367?

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 72353 and 72367 is 5235969551.

LCM(72353,72367) = 5235969551

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Least Common Multiple of 72353 and 72367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72353 and 72367, than apply into the LCM equation.

GCF(72353,72367) = 1
LCM(72353,72367) = ( 72353 × 72367) / 1
LCM(72353,72367) = 5235969551 / 1
LCM(72353,72367) = 5235969551

Least Common Multiple (LCM) of 72353 and 72367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72353 and 72367. First we will calculate the prime factors of 72353 and 72367.

Prime Factorization of 72353

Prime factors of 72353 are 72353. Prime factorization of 72353 in exponential form is:

72353 = 723531

Prime Factorization of 72367

Prime factors of 72367 are 72367. Prime factorization of 72367 in exponential form is:

72367 = 723671

Now multiplying the highest exponent prime factors to calculate the LCM of 72353 and 72367.

LCM(72353,72367) = 723531 × 723671
LCM(72353,72367) = 5235969551