What is the Least Common Multiple of 22861 and 22869?
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 22861 and 22869 is 522808209.
LCM(22861,22869) = 522808209
Least Common Multiple of 22861 and 22869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22861 and 22869, than apply into the LCM equation.
GCF(22861,22869) = 1
LCM(22861,22869) = ( 22861 × 22869) / 1
LCM(22861,22869) = 522808209 / 1
LCM(22861,22869) = 522808209
Least Common Multiple (LCM) of 22861 and 22869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22861 and 22869. First we will calculate the prime factors of 22861 and 22869.
Prime Factorization of 22861
Prime factors of 22861 are 22861. Prime factorization of 22861 in exponential form is:
22861 = 228611
Prime Factorization of 22869
Prime factors of 22869 are 3, 7, 11. Prime factorization of 22869 in exponential form is:
22869 = 33 × 71 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 22861 and 22869.
LCM(22861,22869) = 228611 × 33 × 71 × 112
LCM(22861,22869) = 522808209
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