What is the Least Common Multiple of 80861 and 80870?
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 80861 and 80870 is 6539229070.
LCM(80861,80870) = 6539229070
Least Common Multiple of 80861 and 80870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80861 and 80870, than apply into the LCM equation.
GCF(80861,80870) = 1
LCM(80861,80870) = ( 80861 × 80870) / 1
LCM(80861,80870) = 6539229070 / 1
LCM(80861,80870) = 6539229070
Least Common Multiple (LCM) of 80861 and 80870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80861 and 80870. First we will calculate the prime factors of 80861 and 80870.
Prime Factorization of 80861
Prime factors of 80861 are 11, 7351. Prime factorization of 80861 in exponential form is:
80861 = 111 × 73511
Prime Factorization of 80870
Prime factors of 80870 are 2, 5, 8087. Prime factorization of 80870 in exponential form is:
80870 = 21 × 51 × 80871
Now multiplying the highest exponent prime factors to calculate the LCM of 80861 and 80870.
LCM(80861,80870) = 111 × 73511 × 21 × 51 × 80871
LCM(80861,80870) = 6539229070
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