What is the Least Common Multiple of 43193 and 43207?
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 43193 and 43207 is 1866239951.
LCM(43193,43207) = 1866239951
Least Common Multiple of 43193 and 43207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43193 and 43207, than apply into the LCM equation.
GCF(43193,43207) = 1
LCM(43193,43207) = ( 43193 × 43207) / 1
LCM(43193,43207) = 1866239951 / 1
LCM(43193,43207) = 1866239951
Least Common Multiple (LCM) of 43193 and 43207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43193 and 43207. First we will calculate the prime factors of 43193 and 43207.
Prime Factorization of 43193
Prime factors of 43193 are 47, 919. Prime factorization of 43193 in exponential form is:
43193 = 471 × 9191
Prime Factorization of 43207
Prime factors of 43207 are 43207. Prime factorization of 43207 in exponential form is:
43207 = 432071
Now multiplying the highest exponent prime factors to calculate the LCM of 43193 and 43207.
LCM(43193,43207) = 471 × 9191 × 432071
LCM(43193,43207) = 1866239951
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