LCM for 14 and 24

What's the Least Common Multiple (LCM) of 14 and 24?

Answer: LCM of 14 and 24 is 168

(One hundred sixty-eight)

Finding LCM for 14 and 24 using GCF's of these numbers

The first method to find LCM for numbers 14 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 14 and 24 is 2, so

LCM = (14 × 24) ÷ 2

LCM = 336 ÷ 2

LCM = 168

Finding LCM for 14 and 24 by Listing Multiples

The second method to find LCM for numbers 14 and 24 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216

So the LCM for 14 and 24 is 168

Finding LCM for 14 and 24 by Prime Factorization

Another method to find LCM for numbers 14 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 14: 2, 7 (exponent form: 21, 71)

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

23 × 71 × 31 = 168

LCM Table

Number 1Number 2LCM
12424
22424
32424
42424
524
624
724168
824
924
1024120
1124
1224
1324312
1424
1524
1624
1724
1824
1924
2024
2124
2224264
2324552
242424
2524600
2624312
2724216
2824168
2924696
3024120

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 14 and 24? (The answer is: 168). Select the first number (e.g. '14') and the second number (e.g. '24'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

FAQ

What's the Least Common Multiple (LCM) of 14 and 24?

LCM of 14 and 24 is 168