What is the Least Common Multiple of 52873 and 52879?
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 52873 and 52879 is 2795871367.
LCM(52873,52879) = 2795871367
Least Common Multiple of 52873 and 52879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52873 and 52879, than apply into the LCM equation.
GCF(52873,52879) = 1
LCM(52873,52879) = ( 52873 × 52879) / 1
LCM(52873,52879) = 2795871367 / 1
LCM(52873,52879) = 2795871367
Least Common Multiple (LCM) of 52873 and 52879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52873 and 52879. First we will calculate the prime factors of 52873 and 52879.
Prime Factorization of 52873
Prime factors of 52873 are 37, 1429. Prime factorization of 52873 in exponential form is:
52873 = 371 × 14291
Prime Factorization of 52879
Prime factors of 52879 are 52879. Prime factorization of 52879 in exponential form is:
52879 = 528791
Now multiplying the highest exponent prime factors to calculate the LCM of 52873 and 52879.
LCM(52873,52879) = 371 × 14291 × 528791
LCM(52873,52879) = 2795871367
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