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What is the Least Common Multiple of 80077 and 80085?

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 80077 and 80085 is 6412966545.

LCM(80077,80085) = 6412966545

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Least Common Multiple of 80077 and 80085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80077 and 80085, than apply into the LCM equation.

GCF(80077,80085) = 1
LCM(80077,80085) = ( 80077 × 80085) / 1
LCM(80077,80085) = 6412966545 / 1
LCM(80077,80085) = 6412966545

Least Common Multiple (LCM) of 80077 and 80085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80077 and 80085. First we will calculate the prime factors of 80077 and 80085.

Prime Factorization of 80077

Prime factors of 80077 are 80077. Prime factorization of 80077 in exponential form is:

80077 = 800771

Prime Factorization of 80085

Prime factors of 80085 are 3, 5, 19, 281. Prime factorization of 80085 in exponential form is:

80085 = 31 × 51 × 191 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 80077 and 80085.

LCM(80077,80085) = 800771 × 31 × 51 × 191 × 2811
LCM(80077,80085) = 6412966545