What is the Least Common Multiple of 357 and 372?
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 357 and 372 is 44268.
LCM(357,372) = 44268
Least Common Multiple of 357 and 372 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 357 and 372, than apply into the LCM equation.
GCF(357,372) = 3
LCM(357,372) = ( 357 × 372) / 3
LCM(357,372) = 132804 / 3
LCM(357,372) = 44268
Least Common Multiple (LCM) of 357 and 372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 372. First we will calculate the prime factors of 357 and 372.
Prime Factorization of 357
Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:
357 = 31 × 71 × 171
Prime Factorization of 372
Prime factors of 372 are 2, 3, 31. Prime factorization of 372 in exponential form is:
372 = 22 × 31 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 357 and 372.
LCM(357,372) = 31 × 71 × 171 × 22 × 311
LCM(357,372) = 44268
Related Least Common Multiples of 357
- LCM of 357 and 361
- LCM of 357 and 362
- LCM of 357 and 363
- LCM of 357 and 364
- LCM of 357 and 365
- LCM of 357 and 366
- LCM of 357 and 367
- LCM of 357 and 368
- LCM of 357 and 369
- LCM of 357 and 370
- LCM of 357 and 371
- LCM of 357 and 372
- LCM of 357 and 373
- LCM of 357 and 374
- LCM of 357 and 375
- LCM of 357 and 376
- LCM of 357 and 377
Related Least Common Multiples of 372
- LCM of 372 and 376
- LCM of 372 and 377
- LCM of 372 and 378
- LCM of 372 and 379
- LCM of 372 and 380
- LCM of 372 and 381
- LCM of 372 and 382
- LCM of 372 and 383
- LCM of 372 and 384
- LCM of 372 and 385
- LCM of 372 and 386
- LCM of 372 and 387
- LCM of 372 and 388
- LCM of 372 and 389
- LCM of 372 and 390
- LCM of 372 and 391
- LCM of 372 and 392