What is the Least Common Multiple of 52907 and 52911?
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 52907 and 52911 is 2799362277.
LCM(52907,52911) = 2799362277
Least Common Multiple of 52907 and 52911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52907 and 52911, than apply into the LCM equation.
GCF(52907,52911) = 1
LCM(52907,52911) = ( 52907 × 52911) / 1
LCM(52907,52911) = 2799362277 / 1
LCM(52907,52911) = 2799362277
Least Common Multiple (LCM) of 52907 and 52911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52907 and 52911. First we will calculate the prime factors of 52907 and 52911.
Prime Factorization of 52907
Prime factors of 52907 are 191, 277. Prime factorization of 52907 in exponential form is:
52907 = 1911 × 2771
Prime Factorization of 52911
Prime factors of 52911 are 3, 5879. Prime factorization of 52911 in exponential form is:
52911 = 32 × 58791
Now multiplying the highest exponent prime factors to calculate the LCM of 52907 and 52911.
LCM(52907,52911) = 1911 × 2771 × 32 × 58791
LCM(52907,52911) = 2799362277
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