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What is the Least Common Multiple of 47069 and 47081?

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 47069 and 47081 is 2216055589.

LCM(47069,47081) = 2216055589

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Least Common Multiple of 47069 and 47081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47069 and 47081, than apply into the LCM equation.

GCF(47069,47081) = 1
LCM(47069,47081) = ( 47069 × 47081) / 1
LCM(47069,47081) = 2216055589 / 1
LCM(47069,47081) = 2216055589

Least Common Multiple (LCM) of 47069 and 47081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47069 and 47081. First we will calculate the prime factors of 47069 and 47081.

Prime Factorization of 47069

Prime factors of 47069 are 11, 389. Prime factorization of 47069 in exponential form is:

47069 = 112 × 3891

Prime Factorization of 47081

Prime factors of 47081 are 23, 89. Prime factorization of 47081 in exponential form is:

47081 = 232 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 47069 and 47081.

LCM(47069,47081) = 112 × 3891 × 232 × 891
LCM(47069,47081) = 2216055589