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What is the Least Common Multiple of 80890 and 80897?

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 80890 and 80897 is 6543758330.

LCM(80890,80897) = 6543758330

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Least Common Multiple of 80890 and 80897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80890 and 80897, than apply into the LCM equation.

GCF(80890,80897) = 1
LCM(80890,80897) = ( 80890 × 80897) / 1
LCM(80890,80897) = 6543758330 / 1
LCM(80890,80897) = 6543758330

Least Common Multiple (LCM) of 80890 and 80897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80890 and 80897. First we will calculate the prime factors of 80890 and 80897.

Prime Factorization of 80890

Prime factors of 80890 are 2, 5, 8089. Prime factorization of 80890 in exponential form is:

80890 = 21 × 51 × 80891

Prime Factorization of 80897

Prime factors of 80897 are 80897. Prime factorization of 80897 in exponential form is:

80897 = 808971

Now multiplying the highest exponent prime factors to calculate the LCM of 80890 and 80897.

LCM(80890,80897) = 21 × 51 × 80891 × 808971
LCM(80890,80897) = 6543758330