LCM for 144 and 216

What's the Least Common Multiple (LCM) of 144 and 216?

Answer: LCM of 144 and 216 is 432

(Four hundred thirty-two)

Finding LCM for 144 and 216 using GCF's of these numbers

The first method to find LCM for numbers 144 and 216 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 216 is 72, so

LCM = (144 × 216) ÷ 72

LCM = 31104 ÷ 72

LCM = 432

Finding LCM for 144 and 216 by Listing Multiples

The second method to find LCM for numbers 144 and 216 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 144: 144, 288, 432, 576, 720

Multiples of 216: 216, 432, 648, 864

So the LCM for 144 and 216 is 432

Finding LCM for 144 and 216 by Prime Factorization

Another method to find LCM for numbers 144 and 216 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 216: 2, 2, 2, 3, 3, 3 (exponent form: 23, 33)

24 × 33 = 432

Related Calculations

LCM Table

Number 1Number 2LCM
1292169288
13021614040
13121628296
1322162376
13321628728
13421614472
1352161080
1362163672
13721629592
1382164968
13921630024
1402167560
14121610152
14221615336
14321630888
144216
14521631320
14621615768
14721610584
1482167992
14921632184
1502165400
15121632616
1522164104
1532163672
15421616632
15521633480
1562162808
15721633912
15821617064

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 216? (The answer is: 432). Select the first number (e.g. '144') and the second number (e.g. '216'). 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 216?

LCM of 144 and 216 is 432