What is the Least Common Multiple of 80865 and 80869?
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 80865 and 80869 is 6539471685.
LCM(80865,80869) = 6539471685
Least Common Multiple of 80865 and 80869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80865 and 80869, than apply into the LCM equation.
GCF(80865,80869) = 1
LCM(80865,80869) = ( 80865 × 80869) / 1
LCM(80865,80869) = 6539471685 / 1
LCM(80865,80869) = 6539471685
Least Common Multiple (LCM) of 80865 and 80869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80865 and 80869. First we will calculate the prime factors of 80865 and 80869.
Prime Factorization of 80865
Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:
80865 = 33 × 51 × 5991
Prime Factorization of 80869
Prime factors of 80869 are 17, 67, 71. Prime factorization of 80869 in exponential form is:
80869 = 171 × 671 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 80865 and 80869.
LCM(80865,80869) = 33 × 51 × 5991 × 171 × 671 × 711
LCM(80865,80869) = 6539471685
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