What is the Least Common Multiple of 80804 and 80811?
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 80804 and 80811 is 6529852044.
LCM(80804,80811) = 6529852044
Least Common Multiple of 80804 and 80811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80804 and 80811, than apply into the LCM equation.
GCF(80804,80811) = 1
LCM(80804,80811) = ( 80804 × 80811) / 1
LCM(80804,80811) = 6529852044 / 1
LCM(80804,80811) = 6529852044
Least Common Multiple (LCM) of 80804 and 80811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80804 and 80811. First we will calculate the prime factors of 80804 and 80811.
Prime Factorization of 80804
Prime factors of 80804 are 2, 20201. Prime factorization of 80804 in exponential form is:
80804 = 22 × 202011
Prime Factorization of 80811
Prime factors of 80811 are 3, 41, 73. Prime factorization of 80811 in exponential form is:
80811 = 33 × 411 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 80804 and 80811.
LCM(80804,80811) = 22 × 202011 × 33 × 411 × 731
LCM(80804,80811) = 6529852044
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