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What is the Least Common Multiple of 85027 and 85047?

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 85027 and 85047 is 7231291269.

LCM(85027,85047) = 7231291269

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Least Common Multiple of 85027 and 85047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85027 and 85047, than apply into the LCM equation.

GCF(85027,85047) = 1
LCM(85027,85047) = ( 85027 × 85047) / 1
LCM(85027,85047) = 7231291269 / 1
LCM(85027,85047) = 7231291269

Least Common Multiple (LCM) of 85027 and 85047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85027 and 85047. First we will calculate the prime factors of 85027 and 85047.

Prime Factorization of 85027

Prime factors of 85027 are 85027. Prime factorization of 85027 in exponential form is:

85027 = 850271

Prime Factorization of 85047

Prime factors of 85047 are 3, 28349. Prime factorization of 85047 in exponential form is:

85047 = 31 × 283491

Now multiplying the highest exponent prime factors to calculate the LCM of 85027 and 85047.

LCM(85027,85047) = 850271 × 31 × 283491
LCM(85027,85047) = 7231291269