What is the Least Common Multiple of 5308 and 5322?
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 5308 and 5322 is 14124588.
LCM(5308,5322) = 14124588
Least Common Multiple of 5308 and 5322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5308 and 5322, than apply into the LCM equation.
GCF(5308,5322) = 2
LCM(5308,5322) = ( 5308 × 5322) / 2
LCM(5308,5322) = 28249176 / 2
LCM(5308,5322) = 14124588
Least Common Multiple (LCM) of 5308 and 5322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5308 and 5322. First we will calculate the prime factors of 5308 and 5322.
Prime Factorization of 5308
Prime factors of 5308 are 2, 1327. Prime factorization of 5308 in exponential form is:
5308 = 22 × 13271
Prime Factorization of 5322
Prime factors of 5322 are 2, 3, 887. Prime factorization of 5322 in exponential form is:
5322 = 21 × 31 × 8871
Now multiplying the highest exponent prime factors to calculate the LCM of 5308 and 5322.
LCM(5308,5322) = 22 × 13271 × 31 × 8871
LCM(5308,5322) = 14124588
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