What is the Least Common Multiple of 248 and 255?
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 248 and 255 is 63240.
LCM(248,255) = 63240
Least Common Multiple of 248 and 255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 248 and 255, than apply into the LCM equation.
GCF(248,255) = 1
LCM(248,255) = ( 248 × 255) / 1
LCM(248,255) = 63240 / 1
LCM(248,255) = 63240
Least Common Multiple (LCM) of 248 and 255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 248 and 255. First we will calculate the prime factors of 248 and 255.
Prime Factorization of 248
Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:
248 = 23 × 311
Prime Factorization of 255
Prime factors of 255 are 3, 5, 17. Prime factorization of 255 in exponential form is:
255 = 31 × 51 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 248 and 255.
LCM(248,255) = 23 × 311 × 31 × 51 × 171
LCM(248,255) = 63240
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