What is the Least Common Multiple of 92422 and 92427?
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 92422 and 92427 is 8542288194.
LCM(92422,92427) = 8542288194
Least Common Multiple of 92422 and 92427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92422 and 92427, than apply into the LCM equation.
GCF(92422,92427) = 1
LCM(92422,92427) = ( 92422 × 92427) / 1
LCM(92422,92427) = 8542288194 / 1
LCM(92422,92427) = 8542288194
Least Common Multiple (LCM) of 92422 and 92427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92422 and 92427. First we will calculate the prime factors of 92422 and 92427.
Prime Factorization of 92422
Prime factors of 92422 are 2, 11, 4201. Prime factorization of 92422 in exponential form is:
92422 = 21 × 111 × 42011
Prime Factorization of 92427
Prime factors of 92427 are 3, 30809. Prime factorization of 92427 in exponential form is:
92427 = 31 × 308091
Now multiplying the highest exponent prime factors to calculate the LCM of 92422 and 92427.
LCM(92422,92427) = 21 × 111 × 42011 × 31 × 308091
LCM(92422,92427) = 8542288194
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