What is the Least Common Multiple of 93222 and 93227?
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 93222 and 93227 is 8690807394.
LCM(93222,93227) = 8690807394
Least Common Multiple of 93222 and 93227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93222 and 93227, than apply into the LCM equation.
GCF(93222,93227) = 1
LCM(93222,93227) = ( 93222 × 93227) / 1
LCM(93222,93227) = 8690807394 / 1
LCM(93222,93227) = 8690807394
Least Common Multiple (LCM) of 93222 and 93227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93222 and 93227. First we will calculate the prime factors of 93222 and 93227.
Prime Factorization of 93222
Prime factors of 93222 are 2, 3, 5179. Prime factorization of 93222 in exponential form is:
93222 = 21 × 32 × 51791
Prime Factorization of 93227
Prime factors of 93227 are 53, 1759. Prime factorization of 93227 in exponential form is:
93227 = 531 × 17591
Now multiplying the highest exponent prime factors to calculate the LCM of 93222 and 93227.
LCM(93222,93227) = 21 × 32 × 51791 × 531 × 17591
LCM(93222,93227) = 8690807394
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