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What is the Least Common Multiple of 23324 and 23329?

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 23324 and 23329 is 544125596.

LCM(23324,23329) = 544125596

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Least Common Multiple of 23324 and 23329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23324 and 23329, than apply into the LCM equation.

GCF(23324,23329) = 1
LCM(23324,23329) = ( 23324 × 23329) / 1
LCM(23324,23329) = 544125596 / 1
LCM(23324,23329) = 544125596

Least Common Multiple (LCM) of 23324 and 23329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23324 and 23329. First we will calculate the prime factors of 23324 and 23329.

Prime Factorization of 23324

Prime factors of 23324 are 2, 7, 17. Prime factorization of 23324 in exponential form is:

23324 = 22 × 73 × 171

Prime Factorization of 23329

Prime factors of 23329 are 41, 569. Prime factorization of 23329 in exponential form is:

23329 = 411 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 23324 and 23329.

LCM(23324,23329) = 22 × 73 × 171 × 411 × 5691
LCM(23324,23329) = 544125596