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What is the Least Common Multiple of 80063 and 80076?

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 80063 and 80076 is 6411124788.

LCM(80063,80076) = 6411124788

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Least Common Multiple of 80063 and 80076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80063 and 80076, than apply into the LCM equation.

GCF(80063,80076) = 1
LCM(80063,80076) = ( 80063 × 80076) / 1
LCM(80063,80076) = 6411124788 / 1
LCM(80063,80076) = 6411124788

Least Common Multiple (LCM) of 80063 and 80076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80063 and 80076. First we will calculate the prime factors of 80063 and 80076.

Prime Factorization of 80063

Prime factors of 80063 are 23, 59. Prime factorization of 80063 in exponential form is:

80063 = 231 × 592

Prime Factorization of 80076

Prime factors of 80076 are 2, 3, 6673. Prime factorization of 80076 in exponential form is:

80076 = 22 × 31 × 66731

Now multiplying the highest exponent prime factors to calculate the LCM of 80063 and 80076.

LCM(80063,80076) = 231 × 592 × 22 × 31 × 66731
LCM(80063,80076) = 6411124788