What is the Least Common Multiple of 52882 and 52891?
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 52882 and 52891 is 2796981862.
LCM(52882,52891) = 2796981862
Least Common Multiple of 52882 and 52891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52882 and 52891, than apply into the LCM equation.
GCF(52882,52891) = 1
LCM(52882,52891) = ( 52882 × 52891) / 1
LCM(52882,52891) = 2796981862 / 1
LCM(52882,52891) = 2796981862
Least Common Multiple (LCM) of 52882 and 52891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52882 and 52891. First we will calculate the prime factors of 52882 and 52891.
Prime Factorization of 52882
Prime factors of 52882 are 2, 137, 193. Prime factorization of 52882 in exponential form is:
52882 = 21 × 1371 × 1931
Prime Factorization of 52891
Prime factors of 52891 are 227, 233. Prime factorization of 52891 in exponential form is:
52891 = 2271 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 52882 and 52891.
LCM(52882,52891) = 21 × 1371 × 1931 × 2271 × 2331
LCM(52882,52891) = 2796981862
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