What is the Least Common Multiple of 80855 and 80868?
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 80855 and 80868 is 6538582140.
LCM(80855,80868) = 6538582140
Least Common Multiple of 80855 and 80868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80855 and 80868, than apply into the LCM equation.
GCF(80855,80868) = 1
LCM(80855,80868) = ( 80855 × 80868) / 1
LCM(80855,80868) = 6538582140 / 1
LCM(80855,80868) = 6538582140
Least Common Multiple (LCM) of 80855 and 80868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80855 and 80868. First we will calculate the prime factors of 80855 and 80868.
Prime Factorization of 80855
Prime factors of 80855 are 5, 103, 157. Prime factorization of 80855 in exponential form is:
80855 = 51 × 1031 × 1571
Prime Factorization of 80868
Prime factors of 80868 are 2, 3, 23, 293. Prime factorization of 80868 in exponential form is:
80868 = 22 × 31 × 231 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 80855 and 80868.
LCM(80855,80868) = 51 × 1031 × 1571 × 22 × 31 × 231 × 2931
LCM(80855,80868) = 6538582140
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