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What is the Least Common Multiple of 28364 and 28369?

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 28364 and 28369 is 804658316.

LCM(28364,28369) = 804658316

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Least Common Multiple of 28364 and 28369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28364 and 28369, than apply into the LCM equation.

GCF(28364,28369) = 1
LCM(28364,28369) = ( 28364 × 28369) / 1
LCM(28364,28369) = 804658316 / 1
LCM(28364,28369) = 804658316

Least Common Multiple (LCM) of 28364 and 28369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28364 and 28369. First we will calculate the prime factors of 28364 and 28369.

Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 22 × 71 × 10131

Prime Factorization of 28369

Prime factors of 28369 are 11, 2579. Prime factorization of 28369 in exponential form is:

28369 = 111 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 28364 and 28369.

LCM(28364,28369) = 22 × 71 × 10131 × 111 × 25791
LCM(28364,28369) = 804658316