What is the Least Common Multiple of 252 and 257?
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 252 and 257 is 64764.
LCM(252,257) = 64764
Least Common Multiple of 252 and 257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 252 and 257, than apply into the LCM equation.
GCF(252,257) = 1
LCM(252,257) = ( 252 × 257) / 1
LCM(252,257) = 64764 / 1
LCM(252,257) = 64764
Least Common Multiple (LCM) of 252 and 257 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 252 and 257. First we will calculate the prime factors of 252 and 257.
Prime Factorization of 252
Prime factors of 252 are 2, 3, 7. Prime factorization of 252 in exponential form is:
252 = 22 × 32 × 71
Prime Factorization of 257
Prime factors of 257 are 257. Prime factorization of 257 in exponential form is:
257 = 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 252 and 257.
LCM(252,257) = 22 × 32 × 71 × 2571
LCM(252,257) = 64764
Related Least Common Multiples of 252
- LCM of 252 and 256
- LCM of 252 and 257
- LCM of 252 and 258
- LCM of 252 and 259
- LCM of 252 and 260
- LCM of 252 and 261
- LCM of 252 and 262
- LCM of 252 and 263
- LCM of 252 and 264
- LCM of 252 and 265
- LCM of 252 and 266
- LCM of 252 and 267
- LCM of 252 and 268
- LCM of 252 and 269
- LCM of 252 and 270
- LCM of 252 and 271
- LCM of 252 and 272
Related Least Common Multiples of 257
- LCM of 257 and 261
- LCM of 257 and 262
- LCM of 257 and 263
- LCM of 257 and 264
- LCM of 257 and 265
- LCM of 257 and 266
- LCM of 257 and 267
- LCM of 257 and 268
- LCM of 257 and 269
- LCM of 257 and 270
- LCM of 257 and 271
- LCM of 257 and 272
- LCM of 257 and 273
- LCM of 257 and 274
- LCM of 257 and 275
- LCM of 257 and 276
- LCM of 257 and 277