What is the Least Common Multiple of 92808 and 92812?
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 92808 and 92812 is 2153424024.
LCM(92808,92812) = 2153424024
Least Common Multiple of 92808 and 92812 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92808 and 92812, than apply into the LCM equation.
GCF(92808,92812) = 4
LCM(92808,92812) = ( 92808 × 92812) / 4
LCM(92808,92812) = 8613696096 / 4
LCM(92808,92812) = 2153424024
Least Common Multiple (LCM) of 92808 and 92812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92808 and 92812. First we will calculate the prime factors of 92808 and 92812.
Prime Factorization of 92808
Prime factors of 92808 are 2, 3, 1289. Prime factorization of 92808 in exponential form is:
92808 = 23 × 32 × 12891
Prime Factorization of 92812
Prime factors of 92812 are 2, 23203. Prime factorization of 92812 in exponential form is:
92812 = 22 × 232031
Now multiplying the highest exponent prime factors to calculate the LCM of 92808 and 92812.
LCM(92808,92812) = 23 × 32 × 12891 × 232031
LCM(92808,92812) = 2153424024
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