What is the Least Common Multiple of 92054 and 92060?
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 92054 and 92060 is 4237245620.
LCM(92054,92060) = 4237245620
Least Common Multiple of 92054 and 92060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92054 and 92060, than apply into the LCM equation.
GCF(92054,92060) = 2
LCM(92054,92060) = ( 92054 × 92060) / 2
LCM(92054,92060) = 8474491240 / 2
LCM(92054,92060) = 4237245620
Least Common Multiple (LCM) of 92054 and 92060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92054 and 92060. First we will calculate the prime factors of 92054 and 92060.
Prime Factorization of 92054
Prime factors of 92054 are 2, 46027. Prime factorization of 92054 in exponential form is:
92054 = 21 × 460271
Prime Factorization of 92060
Prime factors of 92060 are 2, 5, 4603. Prime factorization of 92060 in exponential form is:
92060 = 22 × 51 × 46031
Now multiplying the highest exponent prime factors to calculate the LCM of 92054 and 92060.
LCM(92054,92060) = 22 × 460271 × 51 × 46031
LCM(92054,92060) = 4237245620
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