What is the Least Common Multiple of 92077 and 92084?
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 92077 and 92084 is 8478818468.
LCM(92077,92084) = 8478818468
Least Common Multiple of 92077 and 92084 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92077 and 92084, than apply into the LCM equation.
GCF(92077,92084) = 1
LCM(92077,92084) = ( 92077 × 92084) / 1
LCM(92077,92084) = 8478818468 / 1
LCM(92077,92084) = 8478818468
Least Common Multiple (LCM) of 92077 and 92084 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92077 and 92084. First we will calculate the prime factors of 92077 and 92084.
Prime Factorization of 92077
Prime factors of 92077 are 92077. Prime factorization of 92077 in exponential form is:
92077 = 920771
Prime Factorization of 92084
Prime factors of 92084 are 2, 23021. Prime factorization of 92084 in exponential form is:
92084 = 22 × 230211
Now multiplying the highest exponent prime factors to calculate the LCM of 92077 and 92084.
LCM(92077,92084) = 920771 × 22 × 230211
LCM(92077,92084) = 8478818468
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