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What is the Least Common Multiple of 28662 and 28669?

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 28662 and 28669 is 821710878.

LCM(28662,28669) = 821710878

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Least Common Multiple of 28662 and 28669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28662 and 28669, than apply into the LCM equation.

GCF(28662,28669) = 1
LCM(28662,28669) = ( 28662 × 28669) / 1
LCM(28662,28669) = 821710878 / 1
LCM(28662,28669) = 821710878

Least Common Multiple (LCM) of 28662 and 28669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28662 and 28669. First we will calculate the prime factors of 28662 and 28669.

Prime Factorization of 28662

Prime factors of 28662 are 2, 3, 17, 281. Prime factorization of 28662 in exponential form is:

28662 = 21 × 31 × 171 × 2811

Prime Factorization of 28669

Prime factors of 28669 are 28669. Prime factorization of 28669 in exponential form is:

28669 = 286691

Now multiplying the highest exponent prime factors to calculate the LCM of 28662 and 28669.

LCM(28662,28669) = 21 × 31 × 171 × 2811 × 286691
LCM(28662,28669) = 821710878