What is the Least Common Multiple of 93227 and 93242?
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 93227 and 93242 is 8692671934.
LCM(93227,93242) = 8692671934
Least Common Multiple of 93227 and 93242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93227 and 93242, than apply into the LCM equation.
GCF(93227,93242) = 1
LCM(93227,93242) = ( 93227 × 93242) / 1
LCM(93227,93242) = 8692671934 / 1
LCM(93227,93242) = 8692671934
Least Common Multiple (LCM) of 93227 and 93242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93227 and 93242. First we will calculate the prime factors of 93227 and 93242.
Prime Factorization of 93227
Prime factors of 93227 are 53, 1759. Prime factorization of 93227 in exponential form is:
93227 = 531 × 17591
Prime Factorization of 93242
Prime factors of 93242 are 2, 23, 2027. Prime factorization of 93242 in exponential form is:
93242 = 21 × 231 × 20271
Now multiplying the highest exponent prime factors to calculate the LCM of 93227 and 93242.
LCM(93227,93242) = 531 × 17591 × 21 × 231 × 20271
LCM(93227,93242) = 8692671934
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