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What is the Least Common Multiple of 28263 and 28278?

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 28263 and 28278 is 266407038.

LCM(28263,28278) = 266407038

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Least Common Multiple of 28263 and 28278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28263 and 28278, than apply into the LCM equation.

GCF(28263,28278) = 3
LCM(28263,28278) = ( 28263 × 28278) / 3
LCM(28263,28278) = 799221114 / 3
LCM(28263,28278) = 266407038

Least Common Multiple (LCM) of 28263 and 28278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28263 and 28278. First we will calculate the prime factors of 28263 and 28278.

Prime Factorization of 28263

Prime factors of 28263 are 3, 9421. Prime factorization of 28263 in exponential form is:

28263 = 31 × 94211

Prime Factorization of 28278

Prime factors of 28278 are 2, 3, 1571. Prime factorization of 28278 in exponential form is:

28278 = 21 × 32 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 28263 and 28278.

LCM(28263,28278) = 32 × 94211 × 21 × 15711
LCM(28263,28278) = 266407038