What is the Least Common Multiple of 241 and 248?
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 241 and 248 is 59768.
LCM(241,248) = 59768
Least Common Multiple of 241 and 248 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 241 and 248, than apply into the LCM equation.
GCF(241,248) = 1
LCM(241,248) = ( 241 × 248) / 1
LCM(241,248) = 59768 / 1
LCM(241,248) = 59768
Least Common Multiple (LCM) of 241 and 248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 241 and 248. First we will calculate the prime factors of 241 and 248.
Prime Factorization of 241
Prime factors of 241 are 241. Prime factorization of 241 in exponential form is:
241 = 2411
Prime Factorization of 248
Prime factors of 248 are 2, 31. Prime factorization of 248 in exponential form is:
248 = 23 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 241 and 248.
LCM(241,248) = 2411 × 23 × 311
LCM(241,248) = 59768
Related Least Common Multiples of 241
- LCM of 241 and 245
- LCM of 241 and 246
- LCM of 241 and 247
- LCM of 241 and 248
- LCM of 241 and 249
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Related Least Common Multiples of 248
- LCM of 248 and 252
- LCM of 248 and 253
- LCM of 248 and 254
- LCM of 248 and 255
- LCM of 248 and 256
- LCM of 248 and 257
- LCM of 248 and 258
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