What is the Least Common Multiple of 22891 and 22911?
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 22911 is 524455701.
LCM(22891,22911) = 524455701
Least Common Multiple of 22891 and 22911 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 22911, than apply into the LCM equation.
GCF(22891,22911) = 1
LCM(22891,22911) = ( 22891 × 22911) / 1
LCM(22891,22911) = 524455701 / 1
LCM(22891,22911) = 524455701
Least Common Multiple (LCM) of 22891 and 22911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22891 and 22911. First we will calculate the prime factors of 22891 and 22911.
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 22911
Prime factors of 22911 are 3, 7, 1091. Prime factorization of 22911 in exponential form is:
22911 = 31 × 71 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 22891 and 22911.
LCM(22891,22911) = 111 × 20811 × 31 × 71 × 10911
LCM(22891,22911) = 524455701
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