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What is the Least Common Multiple of 55064 and 55081?

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 55064 and 55081 is 3032980184.

LCM(55064,55081) = 3032980184

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Least Common Multiple of 55064 and 55081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55064 and 55081, than apply into the LCM equation.

GCF(55064,55081) = 1
LCM(55064,55081) = ( 55064 × 55081) / 1
LCM(55064,55081) = 3032980184 / 1
LCM(55064,55081) = 3032980184

Least Common Multiple (LCM) of 55064 and 55081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55064 and 55081. First we will calculate the prime factors of 55064 and 55081.

Prime Factorization of 55064

Prime factors of 55064 are 2, 6883. Prime factorization of 55064 in exponential form is:

55064 = 23 × 68831

Prime Factorization of 55081

Prime factors of 55081 are 13, 19, 223. Prime factorization of 55081 in exponential form is:

55081 = 131 × 191 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 55064 and 55081.

LCM(55064,55081) = 23 × 68831 × 131 × 191 × 2231
LCM(55064,55081) = 3032980184