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What is the Least Common Multiple of 55186 and 55194?

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 55186 and 55194 is 1522968042.

LCM(55186,55194) = 1522968042

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Least Common Multiple of 55186 and 55194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55186 and 55194, than apply into the LCM equation.

GCF(55186,55194) = 2
LCM(55186,55194) = ( 55186 × 55194) / 2
LCM(55186,55194) = 3045936084 / 2
LCM(55186,55194) = 1522968042

Least Common Multiple (LCM) of 55186 and 55194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55186 and 55194. First we will calculate the prime factors of 55186 and 55194.

Prime Factorization of 55186

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

55186 = 21 × 411 × 6731

Prime Factorization of 55194

Prime factors of 55194 are 2, 3, 9199. Prime factorization of 55194 in exponential form is:

55194 = 21 × 31 × 91991

Now multiplying the highest exponent prime factors to calculate the LCM of 55186 and 55194.

LCM(55186,55194) = 21 × 411 × 6731 × 31 × 91991
LCM(55186,55194) = 1522968042