What is the Least Common Multiple of 80667 and 80687?
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 80667 and 80687 is 6508778229.
LCM(80667,80687) = 6508778229
Least Common Multiple of 80667 and 80687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80667 and 80687, than apply into the LCM equation.
GCF(80667,80687) = 1
LCM(80667,80687) = ( 80667 × 80687) / 1
LCM(80667,80687) = 6508778229 / 1
LCM(80667,80687) = 6508778229
Least Common Multiple (LCM) of 80667 and 80687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80667 and 80687. First we will calculate the prime factors of 80667 and 80687.
Prime Factorization of 80667
Prime factors of 80667 are 3, 8963. Prime factorization of 80667 in exponential form is:
80667 = 32 × 89631
Prime Factorization of 80687
Prime factors of 80687 are 80687. Prime factorization of 80687 in exponential form is:
80687 = 806871
Now multiplying the highest exponent prime factors to calculate the LCM of 80667 and 80687.
LCM(80667,80687) = 32 × 89631 × 806871
LCM(80667,80687) = 6508778229
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