What is the Least Common Multiple of 804 and 811?
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 804 and 811 is 652044.
LCM(804,811) = 652044
Least Common Multiple of 804 and 811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 804 and 811, than apply into the LCM equation.
GCF(804,811) = 1
LCM(804,811) = ( 804 × 811) / 1
LCM(804,811) = 652044 / 1
LCM(804,811) = 652044
Least Common Multiple (LCM) of 804 and 811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 804 and 811. First we will calculate the prime factors of 804 and 811.
Prime Factorization of 804
Prime factors of 804 are 2, 3, 67. Prime factorization of 804 in exponential form is:
804 = 22 × 31 × 671
Prime Factorization of 811
Prime factors of 811 are 811. Prime factorization of 811 in exponential form is:
811 = 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 804 and 811.
LCM(804,811) = 22 × 31 × 671 × 8111
LCM(804,811) = 652044
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