What is the Least Common Multiple of 43813 and 43827?
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 43813 and 43827 is 274313193.
LCM(43813,43827) = 274313193
Least Common Multiple of 43813 and 43827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43813 and 43827, than apply into the LCM equation.
GCF(43813,43827) = 7
LCM(43813,43827) = ( 43813 × 43827) / 7
LCM(43813,43827) = 1920192351 / 7
LCM(43813,43827) = 274313193
Least Common Multiple (LCM) of 43813 and 43827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43813 and 43827. First we will calculate the prime factors of 43813 and 43827.
Prime Factorization of 43813
Prime factors of 43813 are 7, 11, 569. Prime factorization of 43813 in exponential form is:
43813 = 71 × 111 × 5691
Prime Factorization of 43827
Prime factors of 43827 are 3, 7, 2087. Prime factorization of 43827 in exponential form is:
43827 = 31 × 71 × 20871
Now multiplying the highest exponent prime factors to calculate the LCM of 43813 and 43827.
LCM(43813,43827) = 71 × 111 × 5691 × 31 × 20871
LCM(43813,43827) = 274313193
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