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What is the Least Common Multiple of 22166 and 22179?

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 22166 and 22179 is 491619714.

LCM(22166,22179) = 491619714

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Least Common Multiple of 22166 and 22179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22166 and 22179, than apply into the LCM equation.

GCF(22166,22179) = 1
LCM(22166,22179) = ( 22166 × 22179) / 1
LCM(22166,22179) = 491619714 / 1
LCM(22166,22179) = 491619714

Least Common Multiple (LCM) of 22166 and 22179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22166 and 22179. First we will calculate the prime factors of 22166 and 22179.

Prime Factorization of 22166

Prime factors of 22166 are 2, 11083. Prime factorization of 22166 in exponential form is:

22166 = 21 × 110831

Prime Factorization of 22179

Prime factors of 22179 are 3, 7393. Prime factorization of 22179 in exponential form is:

22179 = 31 × 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 22166 and 22179.

LCM(22166,22179) = 21 × 110831 × 31 × 73931
LCM(22166,22179) = 491619714