What is the Least Common Multiple of 43103 and 43107?
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 43103 and 43107 is 1858041021.
LCM(43103,43107) = 1858041021
Least Common Multiple of 43103 and 43107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43103 and 43107, than apply into the LCM equation.
GCF(43103,43107) = 1
LCM(43103,43107) = ( 43103 × 43107) / 1
LCM(43103,43107) = 1858041021 / 1
LCM(43103,43107) = 1858041021
Least Common Multiple (LCM) of 43103 and 43107 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43103 and 43107. First we will calculate the prime factors of 43103 and 43107.
Prime Factorization of 43103
Prime factors of 43103 are 43103. Prime factorization of 43103 in exponential form is:
43103 = 431031
Prime Factorization of 43107
Prime factors of 43107 are 3, 14369. Prime factorization of 43107 in exponential form is:
43107 = 31 × 143691
Now multiplying the highest exponent prime factors to calculate the LCM of 43103 and 43107.
LCM(43103,43107) = 431031 × 31 × 143691
LCM(43103,43107) = 1858041021
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