LCM for 144 and 264

What's the Least Common Multiple (LCM) of 144 and 264?

Answer: LCM of 144 and 264 is 1,584

(One thousand, five hundred eighty-four)

Finding LCM for 144 and 264 using GCF's of these numbers

The first method to find LCM for numbers 144 and 264 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 264 is 24, so

LCM = (144 × 264) ÷ 24

LCM = 38016 ÷ 24

LCM = 1584

Finding LCM for 144 and 264 by Listing Multiples

The second method to find LCM for numbers 144 and 264 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, 1440, 1584, 1728, 1872

Multiples of 264: 264, 528, 792, 1056, 1320, 1584, 1848, 2112

So the LCM for 144 and 264 is 1584

Finding LCM for 144 and 264 by Prime Factorization

Another method to find LCM for numbers 144 and 264 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 264: 2, 2, 2, 3, 11 (exponent form: 23, 31, 111)

24 × 32 × 111 = 1584

See Also

LCM Table

Number 1Number 2LCM
12926411352
13026417160
13126434584
132264264
13326435112
13426417688
13526411880
1362644488
13726436168
1382646072
13926436696
1402649240
14126412408
14226418744
1432643432
1442641584
14526438280
14626419272
14726412936
1482649768
14926439336
1502646600
15126439864
1522645016
15326413464
154264
15526440920
1562643432
15726441448
15826420856

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 264? (The answer is: 1584). Select the first number (e.g. '144') and the second number (e.g. '264'). 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 264?

LCM of 144 and 264 is 1,584