# Least Common Multiple of 54 and 336

Least common multiple (LCM) of 54 and 336 is **3024**.

LCM(54,336) = 3024

*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 of 54 and 336 with GCF Formula

The formula of **LCM** is LCM(a,b) = ( a × b) / GCF(a,b).

We need to calculate greatest common factor 54 and 336, than apply into the LCM equation.

GCF(54,336) = 6

LCM(54,336) = ( 54 × 336) / 6

LCM(54,336) = 18144 / 6

LCM(54,336) = 3024

## Least Common Multiple (LCM) of 54 and 336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54 and 336. First we will calculate the **prime factors of 54 and 336**.

### Prime Factorization of 54

Prime factors of 54 are 2, 3. Prime factorization of **54** in exponential form is:

54 = 2^{1} × 3^{3}

### Prime Factorization of 336

Prime factors of 336 are 2, 3, 7. Prime factorization of **336** in exponential form is:

336 = 2^{4} × 3^{1} × 7^{1}

Now multiplying the highest exponent prime factors to calculate the **LCM of 54 and 336**.

LCM(54,336) = 2^{4} × 3^{3} × 7^{1}

LCM(54,336) = 3024

#### Related Least Common Multiples of 54

#### Related Least Common Multiples of 336

- LCM of 336 and 340
- LCM of 336 and 341
- LCM of 336 and 342
- LCM of 336 and 343
- LCM of 336 and 344
- LCM of 336 and 345
- LCM of 336 and 346
- LCM of 336 and 347
- LCM of 336 and 348
- LCM of 336 and 349
- LCM of 336 and 350
- LCM of 336 and 351
- LCM of 336 and 352
- LCM of 336 and 353
- LCM of 336 and 354
- LCM of 336 and 355
- LCM of 336 and 356

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