What is the Least Common Multiple of 249 and 263?
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 249 and 263 is 65487.
LCM(249,263) = 65487
Least Common Multiple of 249 and 263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 249 and 263, than apply into the LCM equation.
GCF(249,263) = 1
LCM(249,263) = ( 249 × 263) / 1
LCM(249,263) = 65487 / 1
LCM(249,263) = 65487
Least Common Multiple (LCM) of 249 and 263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 249 and 263. First we will calculate the prime factors of 249 and 263.
Prime Factorization of 249
Prime factors of 249 are 3, 83. Prime factorization of 249 in exponential form is:
249 = 31 × 831
Prime Factorization of 263
Prime factors of 263 are 263. Prime factorization of 263 in exponential form is:
263 = 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 249 and 263.
LCM(249,263) = 31 × 831 × 2631
LCM(249,263) = 65487
Related Least Common Multiples of 249
- LCM of 249 and 253
- LCM of 249 and 254
- LCM of 249 and 255
- LCM of 249 and 256
- LCM of 249 and 257
- LCM of 249 and 258
- LCM of 249 and 259
- LCM of 249 and 260
- LCM of 249 and 261
- LCM of 249 and 262
- LCM of 249 and 263
- LCM of 249 and 264
- LCM of 249 and 265
- LCM of 249 and 266
- LCM of 249 and 267
- LCM of 249 and 268
- LCM of 249 and 269
Related Least Common Multiples of 263
- LCM of 263 and 267
- LCM of 263 and 268
- LCM of 263 and 269
- LCM of 263 and 270
- LCM of 263 and 271
- LCM of 263 and 272
- LCM of 263 and 273
- LCM of 263 and 274
- LCM of 263 and 275
- LCM of 263 and 276
- LCM of 263 and 277
- LCM of 263 and 278
- LCM of 263 and 279
- LCM of 263 and 280
- LCM of 263 and 281
- LCM of 263 and 282
- LCM of 263 and 283