What is the Least Common Multiple of 234 and 240?
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 234 and 240 is 9360.
LCM(234,240) = 9360
Least Common Multiple of 234 and 240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 234 and 240, than apply into the LCM equation.
GCF(234,240) = 6
LCM(234,240) = ( 234 × 240) / 6
LCM(234,240) = 56160 / 6
LCM(234,240) = 9360
Least Common Multiple (LCM) of 234 and 240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 234 and 240. First we will calculate the prime factors of 234 and 240.
Prime Factorization of 234
Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:
234 = 21 × 32 × 131
Prime Factorization of 240
Prime factors of 240 are 2, 3, 5. Prime factorization of 240 in exponential form is:
240 = 24 × 31 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 234 and 240.
LCM(234,240) = 24 × 32 × 131 × 51
LCM(234,240) = 9360
Related Least Common Multiples of 234
- LCM of 234 and 238
- LCM of 234 and 239
- LCM of 234 and 240
- LCM of 234 and 241
- LCM of 234 and 242
- LCM of 234 and 243
- LCM of 234 and 244
- LCM of 234 and 245
- LCM of 234 and 246
- LCM of 234 and 247
- LCM of 234 and 248
- LCM of 234 and 249
- LCM of 234 and 250
- LCM of 234 and 251
- LCM of 234 and 252
- LCM of 234 and 253
- LCM of 234 and 254
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