What is the Least Common Multiple of 17848 and 17854?
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 17848 and 17854 is 159329096.
LCM(17848,17854) = 159329096
Least Common Multiple of 17848 and 17854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17848 and 17854, than apply into the LCM equation.
GCF(17848,17854) = 2
LCM(17848,17854) = ( 17848 × 17854) / 2
LCM(17848,17854) = 318658192 / 2
LCM(17848,17854) = 159329096
Least Common Multiple (LCM) of 17848 and 17854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17848 and 17854. First we will calculate the prime factors of 17848 and 17854.
Prime Factorization of 17848
Prime factors of 17848 are 2, 23, 97. Prime factorization of 17848 in exponential form is:
17848 = 23 × 231 × 971
Prime Factorization of 17854
Prime factors of 17854 are 2, 79, 113. Prime factorization of 17854 in exponential form is:
17854 = 21 × 791 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 17848 and 17854.
LCM(17848,17854) = 23 × 231 × 971 × 791 × 1131
LCM(17848,17854) = 159329096
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