What is the Least Common Multiple of 52847 and 52862?
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 52847 and 52862 is 2793598114.
LCM(52847,52862) = 2793598114
Least Common Multiple of 52847 and 52862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52847 and 52862, than apply into the LCM equation.
GCF(52847,52862) = 1
LCM(52847,52862) = ( 52847 × 52862) / 1
LCM(52847,52862) = 2793598114 / 1
LCM(52847,52862) = 2793598114
Least Common Multiple (LCM) of 52847 and 52862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52847 and 52862. First we will calculate the prime factors of 52847 and 52862.
Prime Factorization of 52847
Prime factors of 52847 are 43, 1229. Prime factorization of 52847 in exponential form is:
52847 = 431 × 12291
Prime Factorization of 52862
Prime factors of 52862 are 2, 26431. Prime factorization of 52862 in exponential form is:
52862 = 21 × 264311
Now multiplying the highest exponent prime factors to calculate the LCM of 52847 and 52862.
LCM(52847,52862) = 431 × 12291 × 21 × 264311
LCM(52847,52862) = 2793598114
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