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What is the Least Common Multiple of 80027 and 80034?

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 80027 and 80034 is 6404880918.

LCM(80027,80034) = 6404880918

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Least Common Multiple of 80027 and 80034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80027 and 80034, than apply into the LCM equation.

GCF(80027,80034) = 1
LCM(80027,80034) = ( 80027 × 80034) / 1
LCM(80027,80034) = 6404880918 / 1
LCM(80027,80034) = 6404880918

Least Common Multiple (LCM) of 80027 and 80034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80027 and 80034. First we will calculate the prime factors of 80027 and 80034.

Prime Factorization of 80027

Prime factors of 80027 are 79, 1013. Prime factorization of 80027 in exponential form is:

80027 = 791 × 10131

Prime Factorization of 80034

Prime factors of 80034 are 2, 3, 13339. Prime factorization of 80034 in exponential form is:

80034 = 21 × 31 × 133391

Now multiplying the highest exponent prime factors to calculate the LCM of 80027 and 80034.

LCM(80027,80034) = 791 × 10131 × 21 × 31 × 133391
LCM(80027,80034) = 6404880918