What is the Least Common Multiple of 92182 and 92186?
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 92182 and 92186 is 4248944926.
LCM(92182,92186) = 4248944926
Least Common Multiple of 92182 and 92186 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92182 and 92186, than apply into the LCM equation.
GCF(92182,92186) = 2
LCM(92182,92186) = ( 92182 × 92186) / 2
LCM(92182,92186) = 8497889852 / 2
LCM(92182,92186) = 4248944926
Least Common Multiple (LCM) of 92182 and 92186 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92182 and 92186. First we will calculate the prime factors of 92182 and 92186.
Prime Factorization of 92182
Prime factors of 92182 are 2, 46091. Prime factorization of 92182 in exponential form is:
92182 = 21 × 460911
Prime Factorization of 92186
Prime factors of 92186 are 2, 46093. Prime factorization of 92186 in exponential form is:
92186 = 21 × 460931
Now multiplying the highest exponent prime factors to calculate the LCM of 92182 and 92186.
LCM(92182,92186) = 21 × 460911 × 460931
LCM(92182,92186) = 4248944926
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