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What is the Least Common Multiple of 28271 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 28271 and 28278 is 799447338.

LCM(28271,28278) = 799447338

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Least Common Multiple of 28271 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 28271 and 28278, than apply into the LCM equation.

GCF(28271,28278) = 1
LCM(28271,28278) = ( 28271 × 28278) / 1
LCM(28271,28278) = 799447338 / 1
LCM(28271,28278) = 799447338

Least Common Multiple (LCM) of 28271 and 28278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28271 and 28278. First we will calculate the prime factors of 28271 and 28278.

Prime Factorization of 28271

Prime factors of 28271 are 17, 1663. Prime factorization of 28271 in exponential form is:

28271 = 171 × 16631

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 28271 and 28278.

LCM(28271,28278) = 171 × 16631 × 21 × 32 × 15711
LCM(28271,28278) = 799447338