What is the Least Common Multiple of 52847 and 52853?
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 52853 is 2793122491.
LCM(52847,52853) = 2793122491
Least Common Multiple of 52847 and 52853 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 52853, than apply into the LCM equation.
GCF(52847,52853) = 1
LCM(52847,52853) = ( 52847 × 52853) / 1
LCM(52847,52853) = 2793122491 / 1
LCM(52847,52853) = 2793122491
Least Common Multiple (LCM) of 52847 and 52853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52847 and 52853. First we will calculate the prime factors of 52847 and 52853.
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 52853
Prime factors of 52853 are 17, 3109. Prime factorization of 52853 in exponential form is:
52853 = 171 × 31091
Now multiplying the highest exponent prime factors to calculate the LCM of 52847 and 52853.
LCM(52847,52853) = 431 × 12291 × 171 × 31091
LCM(52847,52853) = 2793122491
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