What is the Least Common Multiple of 92427 and 92447?
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 92427 and 92447 is 8544598869.
LCM(92427,92447) = 8544598869
Least Common Multiple of 92427 and 92447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92427 and 92447, than apply into the LCM equation.
GCF(92427,92447) = 1
LCM(92427,92447) = ( 92427 × 92447) / 1
LCM(92427,92447) = 8544598869 / 1
LCM(92427,92447) = 8544598869
Least Common Multiple (LCM) of 92427 and 92447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92427 and 92447. First we will calculate the prime factors of 92427 and 92447.
Prime Factorization of 92427
Prime factors of 92427 are 3, 30809. Prime factorization of 92427 in exponential form is:
92427 = 31 × 308091
Prime Factorization of 92447
Prime factors of 92447 are 193, 479. Prime factorization of 92447 in exponential form is:
92447 = 1931 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 92427 and 92447.
LCM(92427,92447) = 31 × 308091 × 1931 × 4791
LCM(92427,92447) = 8544598869
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