What is the Least Common Multiple of 92029 and 92033?
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 92029 and 92033 is 8469704957.
LCM(92029,92033) = 8469704957
Least Common Multiple of 92029 and 92033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92029 and 92033, than apply into the LCM equation.
GCF(92029,92033) = 1
LCM(92029,92033) = ( 92029 × 92033) / 1
LCM(92029,92033) = 8469704957 / 1
LCM(92029,92033) = 8469704957
Least Common Multiple (LCM) of 92029 and 92033 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92029 and 92033. First we will calculate the prime factors of 92029 and 92033.
Prime Factorization of 92029
Prime factors of 92029 are 7, 13147. Prime factorization of 92029 in exponential form is:
92029 = 71 × 131471
Prime Factorization of 92033
Prime factors of 92033 are 92033. Prime factorization of 92033 in exponential form is:
92033 = 920331
Now multiplying the highest exponent prime factors to calculate the LCM of 92029 and 92033.
LCM(92029,92033) = 71 × 131471 × 920331
LCM(92029,92033) = 8469704957
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