What is the Least Common Multiple of 92804 and 92821?
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 92804 and 92821 is 8614160084.
LCM(92804,92821) = 8614160084
Least Common Multiple of 92804 and 92821 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92804 and 92821, than apply into the LCM equation.
GCF(92804,92821) = 1
LCM(92804,92821) = ( 92804 × 92821) / 1
LCM(92804,92821) = 8614160084 / 1
LCM(92804,92821) = 8614160084
Least Common Multiple (LCM) of 92804 and 92821 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92804 and 92821. First we will calculate the prime factors of 92804 and 92821.
Prime Factorization of 92804
Prime factors of 92804 are 2, 23201. Prime factorization of 92804 in exponential form is:
92804 = 22 × 232011
Prime Factorization of 92821
Prime factors of 92821 are 92821. Prime factorization of 92821 in exponential form is:
92821 = 928211
Now multiplying the highest exponent prime factors to calculate the LCM of 92804 and 92821.
LCM(92804,92821) = 22 × 232011 × 928211
LCM(92804,92821) = 8614160084
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