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What is the Least Common Multiple of 55062 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 55062 and 55081 is 159624738.

LCM(55062,55081) = 159624738

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Least Common Multiple of 55062 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 55062 and 55081, than apply into the LCM equation.

GCF(55062,55081) = 19
LCM(55062,55081) = ( 55062 × 55081) / 19
LCM(55062,55081) = 3032870022 / 19
LCM(55062,55081) = 159624738

Least Common Multiple (LCM) of 55062 and 55081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55062 and 55081. First we will calculate the prime factors of 55062 and 55081.

Prime Factorization of 55062

Prime factors of 55062 are 2, 3, 7, 19, 23. Prime factorization of 55062 in exponential form is:

55062 = 21 × 32 × 71 × 191 × 231

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 55062 and 55081.

LCM(55062,55081) = 21 × 32 × 71 × 191 × 231 × 131 × 2231
LCM(55062,55081) = 159624738