What is the Least Common Multiple of 22911 and 22927?
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 22911 and 22927 is 525280497.
LCM(22911,22927) = 525280497
Least Common Multiple of 22911 and 22927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22911 and 22927, than apply into the LCM equation.
GCF(22911,22927) = 1
LCM(22911,22927) = ( 22911 × 22927) / 1
LCM(22911,22927) = 525280497 / 1
LCM(22911,22927) = 525280497
Least Common Multiple (LCM) of 22911 and 22927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22911 and 22927. First we will calculate the prime factors of 22911 and 22927.
Prime Factorization of 22911
Prime factors of 22911 are 3, 7, 1091. Prime factorization of 22911 in exponential form is:
22911 = 31 × 71 × 10911
Prime Factorization of 22927
Prime factors of 22927 are 101, 227. Prime factorization of 22927 in exponential form is:
22927 = 1011 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 22911 and 22927.
LCM(22911,22927) = 31 × 71 × 10911 × 1011 × 2271
LCM(22911,22927) = 525280497
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