What is the Least Common Multiple of 43336 and 43353?
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 43336 and 43353 is 1878745608.
LCM(43336,43353) = 1878745608
Least Common Multiple of 43336 and 43353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43336 and 43353, than apply into the LCM equation.
GCF(43336,43353) = 1
LCM(43336,43353) = ( 43336 × 43353) / 1
LCM(43336,43353) = 1878745608 / 1
LCM(43336,43353) = 1878745608
Least Common Multiple (LCM) of 43336 and 43353 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43336 and 43353. First we will calculate the prime factors of 43336 and 43353.
Prime Factorization of 43336
Prime factors of 43336 are 2, 5417. Prime factorization of 43336 in exponential form is:
43336 = 23 × 54171
Prime Factorization of 43353
Prime factors of 43353 are 3, 4817. Prime factorization of 43353 in exponential form is:
43353 = 32 × 48171
Now multiplying the highest exponent prime factors to calculate the LCM of 43336 and 43353.
LCM(43336,43353) = 23 × 54171 × 32 × 48171
LCM(43336,43353) = 1878745608
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