What is the Least Common Multiple of 80031 and 80037?
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 80031 and 80037 is 2135147049.
LCM(80031,80037) = 2135147049
Least Common Multiple of 80031 and 80037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80031 and 80037, than apply into the LCM equation.
GCF(80031,80037) = 3
LCM(80031,80037) = ( 80031 × 80037) / 3
LCM(80031,80037) = 6405441147 / 3
LCM(80031,80037) = 2135147049
Least Common Multiple (LCM) of 80031 and 80037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80031 and 80037. First we will calculate the prime factors of 80031 and 80037.
Prime Factorization of 80031
Prime factors of 80031 are 3, 7, 37, 103. Prime factorization of 80031 in exponential form is:
80031 = 31 × 71 × 371 × 1031
Prime Factorization of 80037
Prime factors of 80037 are 3, 8893. Prime factorization of 80037 in exponential form is:
80037 = 32 × 88931
Now multiplying the highest exponent prime factors to calculate the LCM of 80031 and 80037.
LCM(80031,80037) = 32 × 71 × 371 × 1031 × 88931
LCM(80031,80037) = 2135147049
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