What is the Least Common Multiple of 52903 and 52907?
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 52903 and 52907 is 2798939021.
LCM(52903,52907) = 2798939021
Least Common Multiple of 52903 and 52907 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52903 and 52907, than apply into the LCM equation.
GCF(52903,52907) = 1
LCM(52903,52907) = ( 52903 × 52907) / 1
LCM(52903,52907) = 2798939021 / 1
LCM(52903,52907) = 2798939021
Least Common Multiple (LCM) of 52903 and 52907 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52903 and 52907. First we will calculate the prime factors of 52903 and 52907.
Prime Factorization of 52903
Prime factors of 52903 are 52903. Prime factorization of 52903 in exponential form is:
52903 = 529031
Prime Factorization of 52907
Prime factors of 52907 are 191, 277. Prime factorization of 52907 in exponential form is:
52907 = 1911 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 52903 and 52907.
LCM(52903,52907) = 529031 × 1911 × 2771
LCM(52903,52907) = 2798939021
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