What is the Least Common Multiple of 22169 and 22179?
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 22169 and 22179 is 491686251.
LCM(22169,22179) = 491686251
Least Common Multiple of 22169 and 22179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22169 and 22179, than apply into the LCM equation.
GCF(22169,22179) = 1
LCM(22169,22179) = ( 22169 × 22179) / 1
LCM(22169,22179) = 491686251 / 1
LCM(22169,22179) = 491686251
Least Common Multiple (LCM) of 22169 and 22179 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22169 and 22179. First we will calculate the prime factors of 22169 and 22179.
Prime Factorization of 22169
Prime factors of 22169 are 7, 3167. Prime factorization of 22169 in exponential form is:
22169 = 71 × 31671
Prime Factorization of 22179
Prime factors of 22179 are 3, 7393. Prime factorization of 22179 in exponential form is:
22179 = 31 × 73931
Now multiplying the highest exponent prime factors to calculate the LCM of 22169 and 22179.
LCM(22169,22179) = 71 × 31671 × 31 × 73931
LCM(22169,22179) = 491686251
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