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What is the Least Common Multiple of 71047 and 71067?

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 71047 and 71067 is 5049097149.

LCM(71047,71067) = 5049097149

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Least Common Multiple of 71047 and 71067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71047 and 71067, than apply into the LCM equation.

GCF(71047,71067) = 1
LCM(71047,71067) = ( 71047 × 71067) / 1
LCM(71047,71067) = 5049097149 / 1
LCM(71047,71067) = 5049097149

Least Common Multiple (LCM) of 71047 and 71067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71047 and 71067. First we will calculate the prime factors of 71047 and 71067.

Prime Factorization of 71047

Prime factors of 71047 are 23, 3089. Prime factorization of 71047 in exponential form is:

71047 = 231 × 30891

Prime Factorization of 71067

Prime factors of 71067 are 3, 23689. Prime factorization of 71067 in exponential form is:

71067 = 31 × 236891

Now multiplying the highest exponent prime factors to calculate the LCM of 71047 and 71067.

LCM(71047,71067) = 231 × 30891 × 31 × 236891
LCM(71047,71067) = 5049097149