What is the Least Common Multiple of 361 and 370?
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 361 and 370 is 133570.
LCM(361,370) = 133570
Least Common Multiple of 361 and 370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 361 and 370, than apply into the LCM equation.
GCF(361,370) = 1
LCM(361,370) = ( 361 × 370) / 1
LCM(361,370) = 133570 / 1
LCM(361,370) = 133570
Least Common Multiple (LCM) of 361 and 370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 370. First we will calculate the prime factors of 361 and 370.
Prime Factorization of 361
Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:
361 = 192
Prime Factorization of 370
Prime factors of 370 are 2, 5, 37. Prime factorization of 370 in exponential form is:
370 = 21 × 51 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 361 and 370.
LCM(361,370) = 192 × 21 × 51 × 371
LCM(361,370) = 133570
Related Least Common Multiples of 361
- LCM of 361 and 365
- LCM of 361 and 366
- LCM of 361 and 367
- LCM of 361 and 368
- LCM of 361 and 369
- LCM of 361 and 370
- LCM of 361 and 371
- LCM of 361 and 372
- LCM of 361 and 373
- LCM of 361 and 374
- LCM of 361 and 375
- LCM of 361 and 376
- LCM of 361 and 377
- LCM of 361 and 378
- LCM of 361 and 379
- LCM of 361 and 380
- LCM of 361 and 381
Related Least Common Multiples of 370
- LCM of 370 and 374
- LCM of 370 and 375
- LCM of 370 and 376
- LCM of 370 and 377
- LCM of 370 and 378
- LCM of 370 and 379
- LCM of 370 and 380
- LCM of 370 and 381
- LCM of 370 and 382
- LCM of 370 and 383
- LCM of 370 and 384
- LCM of 370 and 385
- LCM of 370 and 386
- LCM of 370 and 387
- LCM of 370 and 388
- LCM of 370 and 389
- LCM of 370 and 390