What is the Least Common Multiple of 240 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 240 and 248 is 7440.
LCM(240,248) = 7440
Least Common Multiple of 240 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 240 and 248, than apply into the LCM equation.
GCF(240,248) = 8
LCM(240,248) = ( 240 × 248) / 8
LCM(240,248) = 59520 / 8
LCM(240,248) = 7440
Least Common Multiple (LCM) of 240 and 248 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 240 and 248. First we will calculate the prime factors of 240 and 248.
Prime Factorization of 240
Prime factors of 240 are 2, 3, 5. Prime factorization of 240 in exponential form is:
240 = 24 × 31 × 51
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 240 and 248.
LCM(240,248) = 24 × 31 × 51 × 311
LCM(240,248) = 7440
Related Least Common Multiples of 240
- LCM of 240 and 244
- LCM of 240 and 245
- LCM of 240 and 246
- LCM of 240 and 247
- LCM of 240 and 248
- LCM of 240 and 249
- LCM of 240 and 250
- LCM of 240 and 251
- LCM of 240 and 252
- LCM of 240 and 253
- LCM of 240 and 254
- LCM of 240 and 255
- LCM of 240 and 256
- LCM of 240 and 257
- LCM of 240 and 258
- LCM of 240 and 259
- LCM of 240 and 260
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
- LCM of 248 and 259
- LCM of 248 and 260
- LCM of 248 and 261
- LCM of 248 and 262
- LCM of 248 and 263
- LCM of 248 and 264
- LCM of 248 and 265
- LCM of 248 and 266
- LCM of 248 and 267
- LCM of 248 and 268