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What is the Least Common Multiple of 55178 and 55195?

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 55178 and 55195 is 3045549710.

LCM(55178,55195) = 3045549710

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Least Common Multiple of 55178 and 55195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55178 and 55195, than apply into the LCM equation.

GCF(55178,55195) = 1
LCM(55178,55195) = ( 55178 × 55195) / 1
LCM(55178,55195) = 3045549710 / 1
LCM(55178,55195) = 3045549710

Least Common Multiple (LCM) of 55178 and 55195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55178 and 55195. First we will calculate the prime factors of 55178 and 55195.

Prime Factorization of 55178

Prime factors of 55178 are 2, 47, 587. Prime factorization of 55178 in exponential form is:

55178 = 21 × 471 × 5871

Prime Factorization of 55195

Prime factors of 55195 are 5, 7, 19, 83. Prime factorization of 55195 in exponential form is:

55195 = 51 × 71 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 55178 and 55195.

LCM(55178,55195) = 21 × 471 × 5871 × 51 × 71 × 191 × 831
LCM(55178,55195) = 3045549710