LCM for 144 and 168

What's the Least Common Multiple (LCM) of 144 and 168?

Answer: LCM of 144 and 168 is 1,008

(One thousand, eight)

Finding LCM for 144 and 168 using GCF's of these numbers

The first method to find LCM for numbers 144 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 168 is 24, so

LCM = (144 × 168) ÷ 24

LCM = 24192 ÷ 24

LCM = 1008

Finding LCM for 144 and 168 by Listing Multiples

The second method to find LCM for numbers 144 and 168 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296

Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344

So the LCM for 144 and 168 is 1008

Finding LCM for 144 and 168 by Prime Factorization

Another method to find LCM for numbers 144 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

24 × 32 × 71 = 1008

Related Calculations

LCM Table

Number 1Number 2LCM
1291687224
13016810920
13116822008
1321681848
1331683192
13416811256
1351687560
1361682856
13716823016
1381683864
13916823352
140168840
1411687896
14216811928
14316824024
144168
14516824360
14616812264
1471681176
1481686216
14916825032
1501684200
15116825368
1521683192
1531688568
1541681848
15516826040
1561682184
15716826376
15816813272

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 144 and 168? (The answer is: 1008). Select the first number (e.g. '144') and the second number (e.g. '168'). 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 144 and 168?

LCM of 144 and 168 is 1,008