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What is the Least Common Multiple of 28278 and 28295?

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 28278 and 28295 is 800126010.

LCM(28278,28295) = 800126010

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Least Common Multiple of 28278 and 28295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28278 and 28295, than apply into the LCM equation.

GCF(28278,28295) = 1
LCM(28278,28295) = ( 28278 × 28295) / 1
LCM(28278,28295) = 800126010 / 1
LCM(28278,28295) = 800126010

Least Common Multiple (LCM) of 28278 and 28295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28278 and 28295. First we will calculate the prime factors of 28278 and 28295.

Prime Factorization of 28278

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

28278 = 21 × 32 × 15711

Prime Factorization of 28295

Prime factors of 28295 are 5, 5659. Prime factorization of 28295 in exponential form is:

28295 = 51 × 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 28278 and 28295.

LCM(28278,28295) = 21 × 32 × 15711 × 51 × 56591
LCM(28278,28295) = 800126010