What is the Least Common Multiple of 92437 and 92443?
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 92437 and 92443 is 8545153591.
LCM(92437,92443) = 8545153591
Least Common Multiple of 92437 and 92443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92437 and 92443, than apply into the LCM equation.
GCF(92437,92443) = 1
LCM(92437,92443) = ( 92437 × 92443) / 1
LCM(92437,92443) = 8545153591 / 1
LCM(92437,92443) = 8545153591
Least Common Multiple (LCM) of 92437 and 92443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92437 and 92443. First we will calculate the prime factors of 92437 and 92443.
Prime Factorization of 92437
Prime factors of 92437 are 23, 4019. Prime factorization of 92437 in exponential form is:
92437 = 231 × 40191
Prime Factorization of 92443
Prime factors of 92443 are 13, 547. Prime factorization of 92443 in exponential form is:
92443 = 132 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 92437 and 92443.
LCM(92437,92443) = 231 × 40191 × 132 × 5471
LCM(92437,92443) = 8545153591
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