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What is the Least Common Multiple of 55178 and 55191?

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 55191 is 3045328998.

LCM(55178,55191) = 3045328998

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Least Common Multiple of 55178 and 55191 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 55191, than apply into the LCM equation.

GCF(55178,55191) = 1
LCM(55178,55191) = ( 55178 × 55191) / 1
LCM(55178,55191) = 3045328998 / 1
LCM(55178,55191) = 3045328998

Least Common Multiple (LCM) of 55178 and 55191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55178 and 55191. First we will calculate the prime factors of 55178 and 55191.

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 55191

Prime factors of 55191 are 3, 18397. Prime factorization of 55191 in exponential form is:

55191 = 31 × 183971

Now multiplying the highest exponent prime factors to calculate the LCM of 55178 and 55191.

LCM(55178,55191) = 21 × 471 × 5871 × 31 × 183971
LCM(55178,55191) = 3045328998