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What is the Least Common Multiple of 28357 and 28374?

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 28357 and 28374 is 804601518.

LCM(28357,28374) = 804601518

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Least Common Multiple of 28357 and 28374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28357 and 28374, than apply into the LCM equation.

GCF(28357,28374) = 1
LCM(28357,28374) = ( 28357 × 28374) / 1
LCM(28357,28374) = 804601518 / 1
LCM(28357,28374) = 804601518

Least Common Multiple (LCM) of 28357 and 28374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28357 and 28374. First we will calculate the prime factors of 28357 and 28374.

Prime Factorization of 28357

Prime factors of 28357 are 7, 4051. Prime factorization of 28357 in exponential form is:

28357 = 71 × 40511

Prime Factorization of 28374

Prime factors of 28374 are 2, 3, 4729. Prime factorization of 28374 in exponential form is:

28374 = 21 × 31 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 28357 and 28374.

LCM(28357,28374) = 71 × 40511 × 21 × 31 × 47291
LCM(28357,28374) = 804601518