What is the Least Common Multiple of 60323 and 60329?
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 60323 and 60329 is 3639226267.
LCM(60323,60329) = 3639226267
Least Common Multiple of 60323 and 60329 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60323 and 60329, than apply into the LCM equation.
GCF(60323,60329) = 1
LCM(60323,60329) = ( 60323 × 60329) / 1
LCM(60323,60329) = 3639226267 / 1
LCM(60323,60329) = 3639226267
Least Common Multiple (LCM) of 60323 and 60329 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60323 and 60329. First we will calculate the prime factors of 60323 and 60329.
Prime Factorization of 60323
Prime factors of 60323 are 179, 337. Prime factorization of 60323 in exponential form is:
60323 = 1791 × 3371
Prime Factorization of 60329
Prime factors of 60329 are 23, 43, 61. Prime factorization of 60329 in exponential form is:
60329 = 231 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 60323 and 60329.
LCM(60323,60329) = 1791 × 3371 × 231 × 431 × 611
LCM(60323,60329) = 3639226267
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