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What is the Least Common Multiple of 55167 and 55186?

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 55167 and 55186 is 3044446062.

LCM(55167,55186) = 3044446062

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Least Common Multiple of 55167 and 55186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55167 and 55186, than apply into the LCM equation.

GCF(55167,55186) = 1
LCM(55167,55186) = ( 55167 × 55186) / 1
LCM(55167,55186) = 3044446062 / 1
LCM(55167,55186) = 3044446062

Least Common Multiple (LCM) of 55167 and 55186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55167 and 55186. First we will calculate the prime factors of 55167 and 55186.

Prime Factorization of 55167

Prime factors of 55167 are 3, 7, 37, 71. Prime factorization of 55167 in exponential form is:

55167 = 31 × 71 × 371 × 711

Prime Factorization of 55186

Prime factors of 55186 are 2, 41, 673. Prime factorization of 55186 in exponential form is:

55186 = 21 × 411 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 55167 and 55186.

LCM(55167,55186) = 31 × 71 × 371 × 711 × 21 × 411 × 6731
LCM(55167,55186) = 3044446062