What is the Least Common Multiple of 43184 and 43197?
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 43184 and 43197 is 1865419248.
LCM(43184,43197) = 1865419248
Least Common Multiple of 43184 and 43197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43184 and 43197, than apply into the LCM equation.
GCF(43184,43197) = 1
LCM(43184,43197) = ( 43184 × 43197) / 1
LCM(43184,43197) = 1865419248 / 1
LCM(43184,43197) = 1865419248
Least Common Multiple (LCM) of 43184 and 43197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43184 and 43197. First we will calculate the prime factors of 43184 and 43197.
Prime Factorization of 43184
Prime factors of 43184 are 2, 2699. Prime factorization of 43184 in exponential form is:
43184 = 24 × 26991
Prime Factorization of 43197
Prime factors of 43197 are 3, 7, 11, 17. Prime factorization of 43197 in exponential form is:
43197 = 31 × 71 × 112 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 43184 and 43197.
LCM(43184,43197) = 24 × 26991 × 31 × 71 × 112 × 171
LCM(43184,43197) = 1865419248
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