What is the Least Common Multiple of 22267 and 22273?
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 22267 and 22273 is 495952891.
LCM(22267,22273) = 495952891
Least Common Multiple of 22267 and 22273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22267 and 22273, than apply into the LCM equation.
GCF(22267,22273) = 1
LCM(22267,22273) = ( 22267 × 22273) / 1
LCM(22267,22273) = 495952891 / 1
LCM(22267,22273) = 495952891
Least Common Multiple (LCM) of 22267 and 22273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22267 and 22273. First we will calculate the prime factors of 22267 and 22273.
Prime Factorization of 22267
Prime factors of 22267 are 7, 3181. Prime factorization of 22267 in exponential form is:
22267 = 71 × 31811
Prime Factorization of 22273
Prime factors of 22273 are 22273. Prime factorization of 22273 in exponential form is:
22273 = 222731
Now multiplying the highest exponent prime factors to calculate the LCM of 22267 and 22273.
LCM(22267,22273) = 71 × 31811 × 222731
LCM(22267,22273) = 495952891
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