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What is the Least Common Multiple of 80386 and 80391?

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 80386 and 80391 is 6462310926.

LCM(80386,80391) = 6462310926

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Least Common Multiple of 80386 and 80391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80386 and 80391, than apply into the LCM equation.

GCF(80386,80391) = 1
LCM(80386,80391) = ( 80386 × 80391) / 1
LCM(80386,80391) = 6462310926 / 1
LCM(80386,80391) = 6462310926

Least Common Multiple (LCM) of 80386 and 80391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80386 and 80391. First we will calculate the prime factors of 80386 and 80391.

Prime Factorization of 80386

Prime factors of 80386 are 2, 40193. Prime factorization of 80386 in exponential form is:

80386 = 21 × 401931

Prime Factorization of 80391

Prime factors of 80391 are 3, 127, 211. Prime factorization of 80391 in exponential form is:

80391 = 31 × 1271 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 80386 and 80391.

LCM(80386,80391) = 21 × 401931 × 31 × 1271 × 2111
LCM(80386,80391) = 6462310926