What is the Least Common Multiple of 354 and 358?
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 354 and 358 is 63366.
LCM(354,358) = 63366
Least Common Multiple of 354 and 358 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 354 and 358, than apply into the LCM equation.
GCF(354,358) = 2
LCM(354,358) = ( 354 × 358) / 2
LCM(354,358) = 126732 / 2
LCM(354,358) = 63366
Least Common Multiple (LCM) of 354 and 358 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 354 and 358. First we will calculate the prime factors of 354 and 358.
Prime Factorization of 354
Prime factors of 354 are 2, 3, 59. Prime factorization of 354 in exponential form is:
354 = 21 × 31 × 591
Prime Factorization of 358
Prime factors of 358 are 2, 179. Prime factorization of 358 in exponential form is:
358 = 21 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 354 and 358.
LCM(354,358) = 21 × 31 × 591 × 1791
LCM(354,358) = 63366
Related Least Common Multiples of 354
- LCM of 354 and 358
- LCM of 354 and 359
- LCM of 354 and 360
- LCM of 354 and 361
- LCM of 354 and 362
- LCM of 354 and 363
- LCM of 354 and 364
- LCM of 354 and 365
- LCM of 354 and 366
- LCM of 354 and 367
- LCM of 354 and 368
- LCM of 354 and 369
- LCM of 354 and 370
- LCM of 354 and 371
- LCM of 354 and 372
- LCM of 354 and 373
- LCM of 354 and 374
Related Least Common Multiples of 358
- LCM of 358 and 362
- LCM of 358 and 363
- LCM of 358 and 364
- LCM of 358 and 365
- LCM of 358 and 366
- LCM of 358 and 367
- LCM of 358 and 368
- LCM of 358 and 369
- LCM of 358 and 370
- LCM of 358 and 371
- LCM of 358 and 372
- LCM of 358 and 373
- LCM of 358 and 374
- LCM of 358 and 375
- LCM of 358 and 376
- LCM of 358 and 377
- LCM of 358 and 378