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What is the Least Common Multiple of 28364 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 28364 and 28374 is 402400068.

LCM(28364,28374) = 402400068

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Least Common Multiple of 28364 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 28364 and 28374, than apply into the LCM equation.

GCF(28364,28374) = 2
LCM(28364,28374) = ( 28364 × 28374) / 2
LCM(28364,28374) = 804800136 / 2
LCM(28364,28374) = 402400068

Least Common Multiple (LCM) of 28364 and 28374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28364 and 28374. First we will calculate the prime factors of 28364 and 28374.

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 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 28364 and 28374.

LCM(28364,28374) = 22 × 71 × 10131 × 31 × 47291
LCM(28364,28374) = 402400068