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What is the Least Common Multiple of 28188 and 28206?

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 28188 and 28206 is 44170596.

LCM(28188,28206) = 44170596

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Least Common Multiple of 28188 and 28206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28188 and 28206, than apply into the LCM equation.

GCF(28188,28206) = 18
LCM(28188,28206) = ( 28188 × 28206) / 18
LCM(28188,28206) = 795070728 / 18
LCM(28188,28206) = 44170596

Least Common Multiple (LCM) of 28188 and 28206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28188 and 28206. First we will calculate the prime factors of 28188 and 28206.

Prime Factorization of 28188

Prime factors of 28188 are 2, 3, 29. Prime factorization of 28188 in exponential form is:

28188 = 22 × 35 × 291

Prime Factorization of 28206

Prime factors of 28206 are 2, 3, 1567. Prime factorization of 28206 in exponential form is:

28206 = 21 × 32 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 28188 and 28206.

LCM(28188,28206) = 22 × 35 × 291 × 15671
LCM(28188,28206) = 44170596