What is the Least Common Multiple of 67231 and 67238?
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 67231 and 67238 is 4520477978.
LCM(67231,67238) = 4520477978
Least Common Multiple of 67231 and 67238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67231 and 67238, than apply into the LCM equation.
GCF(67231,67238) = 1
LCM(67231,67238) = ( 67231 × 67238) / 1
LCM(67231,67238) = 4520477978 / 1
LCM(67231,67238) = 4520477978
Least Common Multiple (LCM) of 67231 and 67238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67231 and 67238. First we will calculate the prime factors of 67231 and 67238.
Prime Factorization of 67231
Prime factors of 67231 are 67231. Prime factorization of 67231 in exponential form is:
67231 = 672311
Prime Factorization of 67238
Prime factors of 67238 are 2, 33619. Prime factorization of 67238 in exponential form is:
67238 = 21 × 336191
Now multiplying the highest exponent prime factors to calculate the LCM of 67231 and 67238.
LCM(67231,67238) = 672311 × 21 × 336191
LCM(67231,67238) = 4520477978
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