What is the Least Common Multiple of 22891 and 22901?
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 22891 and 22901 is 524226791.
LCM(22891,22901) = 524226791
Least Common Multiple of 22891 and 22901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22891 and 22901, than apply into the LCM equation.
GCF(22891,22901) = 1
LCM(22891,22901) = ( 22891 × 22901) / 1
LCM(22891,22901) = 524226791 / 1
LCM(22891,22901) = 524226791
Least Common Multiple (LCM) of 22891 and 22901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22891 and 22901. First we will calculate the prime factors of 22891 and 22901.
Prime Factorization of 22891
Prime factors of 22891 are 11, 2081. Prime factorization of 22891 in exponential form is:
22891 = 111 × 20811
Prime Factorization of 22901
Prime factors of 22901 are 22901. Prime factorization of 22901 in exponential form is:
22901 = 229011
Now multiplying the highest exponent prime factors to calculate the LCM of 22891 and 22901.
LCM(22891,22901) = 111 × 20811 × 229011
LCM(22891,22901) = 524226791
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