What is the Least Common Multiple of 53367 and 53375?
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 53367 and 53375 is 2848463625.
LCM(53367,53375) = 2848463625
Least Common Multiple of 53367 and 53375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53367 and 53375, than apply into the LCM equation.
GCF(53367,53375) = 1
LCM(53367,53375) = ( 53367 × 53375) / 1
LCM(53367,53375) = 2848463625 / 1
LCM(53367,53375) = 2848463625
Least Common Multiple (LCM) of 53367 and 53375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53367 and 53375. First we will calculate the prime factors of 53367 and 53375.
Prime Factorization of 53367
Prime factors of 53367 are 3, 17789. Prime factorization of 53367 in exponential form is:
53367 = 31 × 177891
Prime Factorization of 53375
Prime factors of 53375 are 5, 7, 61. Prime factorization of 53375 in exponential form is:
53375 = 53 × 71 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 53367 and 53375.
LCM(53367,53375) = 31 × 177891 × 53 × 71 × 611
LCM(53367,53375) = 2848463625
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