What is the Least Common Multiple of 22861 and 22877?
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 22877 is 522991097.
LCM(22861,22877) = 522991097
Least Common Multiple of 22861 and 22877 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 22877, than apply into the LCM equation.
GCF(22861,22877) = 1
LCM(22861,22877) = ( 22861 × 22877) / 1
LCM(22861,22877) = 522991097 / 1
LCM(22861,22877) = 522991097
Least Common Multiple (LCM) of 22861 and 22877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22861 and 22877. First we will calculate the prime factors of 22861 and 22877.
Prime Factorization of 22861
Prime factors of 22861 are 22861. Prime factorization of 22861 in exponential form is:
22861 = 228611
Prime Factorization of 22877
Prime factors of 22877 are 22877. Prime factorization of 22877 in exponential form is:
22877 = 228771
Now multiplying the highest exponent prime factors to calculate the LCM of 22861 and 22877.
LCM(22861,22877) = 228611 × 228771
LCM(22861,22877) = 522991097
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