What is the Least Common Multiple of 60184 and 60191?
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 60184 and 60191 is 3622535144.
LCM(60184,60191) = 3622535144
Least Common Multiple of 60184 and 60191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60184 and 60191, than apply into the LCM equation.
GCF(60184,60191) = 1
LCM(60184,60191) = ( 60184 × 60191) / 1
LCM(60184,60191) = 3622535144 / 1
LCM(60184,60191) = 3622535144
Least Common Multiple (LCM) of 60184 and 60191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60184 and 60191. First we will calculate the prime factors of 60184 and 60191.
Prime Factorization of 60184
Prime factors of 60184 are 2, 7523. Prime factorization of 60184 in exponential form is:
60184 = 23 × 75231
Prime Factorization of 60191
Prime factors of 60191 are 23, 2617. Prime factorization of 60191 in exponential form is:
60191 = 231 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 60184 and 60191.
LCM(60184,60191) = 23 × 75231 × 231 × 26171
LCM(60184,60191) = 3622535144
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