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What is the Least Common Multiple of 28361 and 28381?

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 28361 and 28381 is 804913541.

LCM(28361,28381) = 804913541

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Least Common Multiple of 28361 and 28381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28361 and 28381, than apply into the LCM equation.

GCF(28361,28381) = 1
LCM(28361,28381) = ( 28361 × 28381) / 1
LCM(28361,28381) = 804913541 / 1
LCM(28361,28381) = 804913541

Least Common Multiple (LCM) of 28361 and 28381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28361 and 28381. First we will calculate the prime factors of 28361 and 28381.

Prime Factorization of 28361

Prime factors of 28361 are 79, 359. Prime factorization of 28361 in exponential form is:

28361 = 791 × 3591

Prime Factorization of 28381

Prime factors of 28381 are 101, 281. Prime factorization of 28381 in exponential form is:

28381 = 1011 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 28361 and 28381.

LCM(28361,28381) = 791 × 3591 × 1011 × 2811
LCM(28361,28381) = 804913541