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What is the Least Common Multiple of 32323 and 32327?

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 32323 and 32327 is 1044905621.

LCM(32323,32327) = 1044905621

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Least Common Multiple of 32323 and 32327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32323 and 32327, than apply into the LCM equation.

GCF(32323,32327) = 1
LCM(32323,32327) = ( 32323 × 32327) / 1
LCM(32323,32327) = 1044905621 / 1
LCM(32323,32327) = 1044905621

Least Common Multiple (LCM) of 32323 and 32327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32323 and 32327. First we will calculate the prime factors of 32323 and 32327.

Prime Factorization of 32323

Prime factors of 32323 are 32323. Prime factorization of 32323 in exponential form is:

32323 = 323231

Prime Factorization of 32327

Prime factors of 32327 are 32327. Prime factorization of 32327 in exponential form is:

32327 = 323271

Now multiplying the highest exponent prime factors to calculate the LCM of 32323 and 32327.

LCM(32323,32327) = 323231 × 323271
LCM(32323,32327) = 1044905621