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What is the Least Common Multiple of 80062 and 80078?

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 80062 and 80078 is 3205602418.

LCM(80062,80078) = 3205602418

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Least Common Multiple of 80062 and 80078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80062 and 80078, than apply into the LCM equation.

GCF(80062,80078) = 2
LCM(80062,80078) = ( 80062 × 80078) / 2
LCM(80062,80078) = 6411204836 / 2
LCM(80062,80078) = 3205602418

Least Common Multiple (LCM) of 80062 and 80078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80062 and 80078. First we will calculate the prime factors of 80062 and 80078.

Prime Factorization of 80062

Prime factors of 80062 are 2, 40031. Prime factorization of 80062 in exponential form is:

80062 = 21 × 400311

Prime Factorization of 80078

Prime factors of 80078 are 2, 40039. Prime factorization of 80078 in exponential form is:

80078 = 21 × 400391

Now multiplying the highest exponent prime factors to calculate the LCM of 80062 and 80078.

LCM(80062,80078) = 21 × 400311 × 400391
LCM(80062,80078) = 3205602418