What is the Least Common Multiple of 92433 and 92446?
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 92433 and 92446 is 8545061118.
LCM(92433,92446) = 8545061118
Least Common Multiple of 92433 and 92446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92433 and 92446, than apply into the LCM equation.
GCF(92433,92446) = 1
LCM(92433,92446) = ( 92433 × 92446) / 1
LCM(92433,92446) = 8545061118 / 1
LCM(92433,92446) = 8545061118
Least Common Multiple (LCM) of 92433 and 92446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92433 and 92446. First we will calculate the prime factors of 92433 and 92446.
Prime Factorization of 92433
Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:
92433 = 31 × 111 × 28011
Prime Factorization of 92446
Prime factors of 92446 are 2, 17, 2719. Prime factorization of 92446 in exponential form is:
92446 = 21 × 171 × 27191
Now multiplying the highest exponent prime factors to calculate the LCM of 92433 and 92446.
LCM(92433,92446) = 31 × 111 × 28011 × 21 × 171 × 27191
LCM(92433,92446) = 8545061118
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