What is the Least Common Multiple of 238 and 242?
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 238 and 242 is 28798.
LCM(238,242) = 28798
Least Common Multiple of 238 and 242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 242, than apply into the LCM equation.
GCF(238,242) = 2
LCM(238,242) = ( 238 × 242) / 2
LCM(238,242) = 57596 / 2
LCM(238,242) = 28798
Least Common Multiple (LCM) of 238 and 242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 242. First we will calculate the prime factors of 238 and 242.
Prime Factorization of 238
Prime factors of 238 are 2, 7, 17. Prime factorization of 238 in exponential form is:
238 = 21 × 71 × 171
Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 242.
LCM(238,242) = 21 × 71 × 171 × 112
LCM(238,242) = 28798
Related Least Common Multiples of 238
- LCM of 238 and 242
- LCM of 238 and 243
- LCM of 238 and 244
- LCM of 238 and 245
- LCM of 238 and 246
- LCM of 238 and 247
- LCM of 238 and 248
- LCM of 238 and 249
- LCM of 238 and 250
- LCM of 238 and 251
- LCM of 238 and 252
- LCM of 238 and 253
- LCM of 238 and 254
- LCM of 238 and 255
- LCM of 238 and 256
- LCM of 238 and 257
- LCM of 238 and 258
Related Least Common Multiples of 242
- LCM of 242 and 246
- LCM of 242 and 247
- LCM of 242 and 248
- LCM of 242 and 249
- LCM of 242 and 250
- LCM of 242 and 251
- LCM of 242 and 252
- LCM of 242 and 253
- LCM of 242 and 254
- LCM of 242 and 255
- LCM of 242 and 256
- LCM of 242 and 257
- LCM of 242 and 258
- LCM of 242 and 259
- LCM of 242 and 260
- LCM of 242 and 261
- LCM of 242 and 262