What is the Least Common Multiple of 92807 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 92807 and 92812 is 8613603284.
LCM(92807,92812) = 8613603284
Least Common Multiple of 92807 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 92807 and 92812, than apply into the LCM equation.
GCF(92807,92812) = 1
LCM(92807,92812) = ( 92807 × 92812) / 1
LCM(92807,92812) = 8613603284 / 1
LCM(92807,92812) = 8613603284
Least Common Multiple (LCM) of 92807 and 92812 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92807 and 92812. First we will calculate the prime factors of 92807 and 92812.
Prime Factorization of 92807
Prime factors of 92807 are 11, 13, 59. Prime factorization of 92807 in exponential form is:
92807 = 112 × 131 × 591
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 92807 and 92812.
LCM(92807,92812) = 112 × 131 × 591 × 22 × 232031
LCM(92807,92812) = 8613603284
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