What is the Least Common Multiple of 80026 and 80031?
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 80026 and 80031 is 6404560806.
LCM(80026,80031) = 6404560806
Least Common Multiple of 80026 and 80031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80026 and 80031, than apply into the LCM equation.
GCF(80026,80031) = 1
LCM(80026,80031) = ( 80026 × 80031) / 1
LCM(80026,80031) = 6404560806 / 1
LCM(80026,80031) = 6404560806
Least Common Multiple (LCM) of 80026 and 80031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80026 and 80031. First we will calculate the prime factors of 80026 and 80031.
Prime Factorization of 80026
Prime factors of 80026 are 2, 40013. Prime factorization of 80026 in exponential form is:
80026 = 21 × 400131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 80026 and 80031.
LCM(80026,80031) = 21 × 400131 × 31 × 71 × 371 × 1031
LCM(80026,80031) = 6404560806
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