What is the Least Common Multiple of 242 and 247?
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 242 and 247 is 59774.
LCM(242,247) = 59774
Least Common Multiple of 242 and 247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 247, than apply into the LCM equation.
GCF(242,247) = 1
LCM(242,247) = ( 242 × 247) / 1
LCM(242,247) = 59774 / 1
LCM(242,247) = 59774
Least Common Multiple (LCM) of 242 and 247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 247. First we will calculate the prime factors of 242 and 247.
Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Prime Factorization of 247
Prime factors of 247 are 13, 19. Prime factorization of 247 in exponential form is:
247 = 131 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 247.
LCM(242,247) = 21 × 112 × 131 × 191
LCM(242,247) = 59774
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
Related Least Common Multiples of 247
- LCM of 247 and 251
- LCM of 247 and 252
- LCM of 247 and 253
- LCM of 247 and 254
- LCM of 247 and 255
- LCM of 247 and 256
- LCM of 247 and 257
- LCM of 247 and 258
- LCM of 247 and 259
- LCM of 247 and 260
- LCM of 247 and 261
- LCM of 247 and 262
- LCM of 247 and 263
- LCM of 247 and 264
- LCM of 247 and 265
- LCM of 247 and 266
- LCM of 247 and 267