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What is the Least Common Multiple of 73361 and 73369?

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 73361 and 73369 is 5382423209.

LCM(73361,73369) = 5382423209

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Least Common Multiple of 73361 and 73369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73361 and 73369, than apply into the LCM equation.

GCF(73361,73369) = 1
LCM(73361,73369) = ( 73361 × 73369) / 1
LCM(73361,73369) = 5382423209 / 1
LCM(73361,73369) = 5382423209

Least Common Multiple (LCM) of 73361 and 73369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73361 and 73369. First we will calculate the prime factors of 73361 and 73369.

Prime Factorization of 73361

Prime factors of 73361 are 73361. Prime factorization of 73361 in exponential form is:

73361 = 733611

Prime Factorization of 73369

Prime factors of 73369 are 73369. Prime factorization of 73369 in exponential form is:

73369 = 733691

Now multiplying the highest exponent prime factors to calculate the LCM of 73361 and 73369.

LCM(73361,73369) = 733611 × 733691
LCM(73361,73369) = 5382423209