What is the Least Common Multiple of 22183 and 22187?
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 22183 and 22187 is 492174221.
LCM(22183,22187) = 492174221
Least Common Multiple of 22183 and 22187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22183 and 22187, than apply into the LCM equation.
GCF(22183,22187) = 1
LCM(22183,22187) = ( 22183 × 22187) / 1
LCM(22183,22187) = 492174221 / 1
LCM(22183,22187) = 492174221
Least Common Multiple (LCM) of 22183 and 22187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22183 and 22187. First we will calculate the prime factors of 22183 and 22187.
Prime Factorization of 22183
Prime factors of 22183 are 7, 3169. Prime factorization of 22183 in exponential form is:
22183 = 71 × 31691
Prime Factorization of 22187
Prime factors of 22187 are 11, 2017. Prime factorization of 22187 in exponential form is:
22187 = 111 × 20171
Now multiplying the highest exponent prime factors to calculate the LCM of 22183 and 22187.
LCM(22183,22187) = 71 × 31691 × 111 × 20171
LCM(22183,22187) = 492174221
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