What is the Least Common Multiple of 58212 and 58227?
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 58212 and 58227 is 1129836708.
LCM(58212,58227) = 1129836708
Least Common Multiple of 58212 and 58227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58212 and 58227, than apply into the LCM equation.
GCF(58212,58227) = 3
LCM(58212,58227) = ( 58212 × 58227) / 3
LCM(58212,58227) = 3389510124 / 3
LCM(58212,58227) = 1129836708
Least Common Multiple (LCM) of 58212 and 58227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58212 and 58227. First we will calculate the prime factors of 58212 and 58227.
Prime Factorization of 58212
Prime factors of 58212 are 2, 3, 7, 11. Prime factorization of 58212 in exponential form is:
58212 = 22 × 33 × 72 × 111
Prime Factorization of 58227
Prime factors of 58227 are 3, 13, 1493. Prime factorization of 58227 in exponential form is:
58227 = 31 × 131 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 58212 and 58227.
LCM(58212,58227) = 22 × 33 × 72 × 111 × 131 × 14931
LCM(58212,58227) = 1129836708
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