LCM for 144 and 240

What's the Least Common Multiple (LCM) of 144 and 240?

Answer: LCM of 144 and 240 is 720

(Seven hundred twenty)

Finding LCM for 144 and 240 using GCF's of these numbers

The first method to find LCM for numbers 144 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 240 is 48, so

LCM = (144 × 240) ÷ 48

LCM = 34560 ÷ 48

LCM = 720

Finding LCM for 144 and 240 by Listing Multiples

The second method to find LCM for numbers 144 and 240 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

Multiples of 240: 240, 480, 720, 960, 1200

So the LCM for 144 and 240 is 720

Finding LCM for 144 and 240 by Prime Factorization

Another method to find LCM for numbers 144 and 240 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 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 32 × 51 = 720

LCM Table

Number 1Number 2LCM
12924010320
1302403120
13124031440
1322402640
13324031920
13424016080
1352402160
1362404080
13724032880
1382405520
13924033360
1402401680
14124011280
14224017040
14324034320
144240720
1452406960
14624017520
14724011760
1482408880
14924035760
1502401200
15124036240
1522404560
15324012240
15424018480
1552407440
1562403120
15724037680
15824018960

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 240? (The answer is: 720). Select the first number (e.g. '144') and the second number (e.g. '240'). 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 240?

LCM of 144 and 240 is 720