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What is the Least Common Multiple of 55176 and 55188?

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 55176 and 55188 is 253754424.

LCM(55176,55188) = 253754424

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Least Common Multiple of 55176 and 55188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55176 and 55188, than apply into the LCM equation.

GCF(55176,55188) = 12
LCM(55176,55188) = ( 55176 × 55188) / 12
LCM(55176,55188) = 3045053088 / 12
LCM(55176,55188) = 253754424

Least Common Multiple (LCM) of 55176 and 55188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55176 and 55188. First we will calculate the prime factors of 55176 and 55188.

Prime Factorization of 55176

Prime factors of 55176 are 2, 3, 11, 19. Prime factorization of 55176 in exponential form is:

55176 = 23 × 31 × 112 × 191

Prime Factorization of 55188

Prime factors of 55188 are 2, 3, 7, 73. Prime factorization of 55188 in exponential form is:

55188 = 22 × 33 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 55176 and 55188.

LCM(55176,55188) = 23 × 33 × 112 × 191 × 71 × 731
LCM(55176,55188) = 253754424