What is the Least Common Multiple of 5336 and 5346?
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 5336 and 5346 is 14263128.
LCM(5336,5346) = 14263128
Least Common Multiple of 5336 and 5346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5336 and 5346, than apply into the LCM equation.
GCF(5336,5346) = 2
LCM(5336,5346) = ( 5336 × 5346) / 2
LCM(5336,5346) = 28526256 / 2
LCM(5336,5346) = 14263128
Least Common Multiple (LCM) of 5336 and 5346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5336 and 5346. First we will calculate the prime factors of 5336 and 5346.
Prime Factorization of 5336
Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:
5336 = 23 × 231 × 291
Prime Factorization of 5346
Prime factors of 5346 are 2, 3, 11. Prime factorization of 5346 in exponential form is:
5346 = 21 × 35 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 5336 and 5346.
LCM(5336,5346) = 23 × 231 × 291 × 35 × 111
LCM(5336,5346) = 14263128
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