What is the Least Common Multiple of 67239 and 67255?
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 67239 and 67255 is 4522158945.
LCM(67239,67255) = 4522158945
Least Common Multiple of 67239 and 67255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67239 and 67255, than apply into the LCM equation.
GCF(67239,67255) = 1
LCM(67239,67255) = ( 67239 × 67255) / 1
LCM(67239,67255) = 4522158945 / 1
LCM(67239,67255) = 4522158945
Least Common Multiple (LCM) of 67239 and 67255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67239 and 67255. First we will calculate the prime factors of 67239 and 67255.
Prime Factorization of 67239
Prime factors of 67239 are 3, 31, 241. Prime factorization of 67239 in exponential form is:
67239 = 32 × 311 × 2411
Prime Factorization of 67255
Prime factors of 67255 are 5, 13451. Prime factorization of 67255 in exponential form is:
67255 = 51 × 134511
Now multiplying the highest exponent prime factors to calculate the LCM of 67239 and 67255.
LCM(67239,67255) = 32 × 311 × 2411 × 51 × 134511
LCM(67239,67255) = 4522158945
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