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What is the Least Common Multiple of 80062 and 80080?

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 80080 is 3205682480.

LCM(80062,80080) = 3205682480

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Least Common Multiple of 80062 and 80080 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 80080, than apply into the LCM equation.

GCF(80062,80080) = 2
LCM(80062,80080) = ( 80062 × 80080) / 2
LCM(80062,80080) = 6411364960 / 2
LCM(80062,80080) = 3205682480

Least Common Multiple (LCM) of 80062 and 80080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80062 and 80080. First we will calculate the prime factors of 80062 and 80080.

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 80080

Prime factors of 80080 are 2, 5, 7, 11, 13. Prime factorization of 80080 in exponential form is:

80080 = 24 × 51 × 71 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 80062 and 80080.

LCM(80062,80080) = 24 × 400311 × 51 × 71 × 111 × 131
LCM(80062,80080) = 3205682480