What is the Least Common Multiple of 93184 and 93204?
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 93184 and 93204 is 2171280384.
LCM(93184,93204) = 2171280384
Least Common Multiple of 93184 and 93204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93184 and 93204, than apply into the LCM equation.
GCF(93184,93204) = 4
LCM(93184,93204) = ( 93184 × 93204) / 4
LCM(93184,93204) = 8685121536 / 4
LCM(93184,93204) = 2171280384
Least Common Multiple (LCM) of 93184 and 93204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93184 and 93204. First we will calculate the prime factors of 93184 and 93204.
Prime Factorization of 93184
Prime factors of 93184 are 2, 7, 13. Prime factorization of 93184 in exponential form is:
93184 = 210 × 71 × 131
Prime Factorization of 93204
Prime factors of 93204 are 2, 3, 863. Prime factorization of 93204 in exponential form is:
93204 = 22 × 33 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 93184 and 93204.
LCM(93184,93204) = 210 × 71 × 131 × 33 × 8631
LCM(93184,93204) = 2171280384
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