What is the Least Common Multiple of 52184 and 52199?
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 52184 and 52199 is 2723952616.
LCM(52184,52199) = 2723952616
Least Common Multiple of 52184 and 52199 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52184 and 52199, than apply into the LCM equation.
GCF(52184,52199) = 1
LCM(52184,52199) = ( 52184 × 52199) / 1
LCM(52184,52199) = 2723952616 / 1
LCM(52184,52199) = 2723952616
Least Common Multiple (LCM) of 52184 and 52199 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52184 and 52199. First we will calculate the prime factors of 52184 and 52199.
Prime Factorization of 52184
Prime factors of 52184 are 2, 11, 593. Prime factorization of 52184 in exponential form is:
52184 = 23 × 111 × 5931
Prime Factorization of 52199
Prime factors of 52199 are 7, 7457. Prime factorization of 52199 in exponential form is:
52199 = 71 × 74571
Now multiplying the highest exponent prime factors to calculate the LCM of 52184 and 52199.
LCM(52184,52199) = 23 × 111 × 5931 × 71 × 74571
LCM(52184,52199) = 2723952616
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