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What is the Least Common Multiple of 80911 and 80930?

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 80911 and 80930 is 6548127230.

LCM(80911,80930) = 6548127230

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Least Common Multiple of 80911 and 80930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80911 and 80930, than apply into the LCM equation.

GCF(80911,80930) = 1
LCM(80911,80930) = ( 80911 × 80930) / 1
LCM(80911,80930) = 6548127230 / 1
LCM(80911,80930) = 6548127230

Least Common Multiple (LCM) of 80911 and 80930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80911 and 80930. First we will calculate the prime factors of 80911 and 80930.

Prime Factorization of 80911

Prime factors of 80911 are 80911. Prime factorization of 80911 in exponential form is:

80911 = 809111

Prime Factorization of 80930

Prime factors of 80930 are 2, 5, 8093. Prime factorization of 80930 in exponential form is:

80930 = 21 × 51 × 80931

Now multiplying the highest exponent prime factors to calculate the LCM of 80911 and 80930.

LCM(80911,80930) = 809111 × 21 × 51 × 80931
LCM(80911,80930) = 6548127230