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What is the Least Common Multiple of 85027 and 85040?

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 85040 is 7230696080.

LCM(85027,85040) = 7230696080

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Least Common Multiple of 85027 and 85040 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 85040, than apply into the LCM equation.

GCF(85027,85040) = 1
LCM(85027,85040) = ( 85027 × 85040) / 1
LCM(85027,85040) = 7230696080 / 1
LCM(85027,85040) = 7230696080

Least Common Multiple (LCM) of 85027 and 85040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85027 and 85040. First we will calculate the prime factors of 85027 and 85040.

Prime Factorization of 85027

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

85027 = 850271

Prime Factorization of 85040

Prime factors of 85040 are 2, 5, 1063. Prime factorization of 85040 in exponential form is:

85040 = 24 × 51 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 85027 and 85040.

LCM(85027,85040) = 850271 × 24 × 51 × 10631
LCM(85027,85040) = 7230696080