LCM for 180 and 240

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What's the Least Common Multiple (LCM) of 180 and 240?

Answer

LCM of 180 and 240 is
720

(Seven hundred twenty)

Finding LCM for 180 and 240 using GCF of these numbers

The first method to find LCM for numbers 180 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 180 and 240 is 60, so

LCM = (180 × 240) ÷ 60

LCM = 43,200 ÷ 60

LCM = 720

Finding LCM for 180 and 240 by Listing Multiples

The second method to find LCM for numbers 180 and 240 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 180: 180, 360, 540, 720, 900, 1,080

Multiples of 240: 240, 480, 720, 960, 1,200

So the LCM for 180 and 240 is 720

Finding LCM for 180 and 240 by Prime Factorization

Another method to find LCM for numbers 180 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 32 × 51 = 720

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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 180 and 240? (The answer is: 720). Select the first number (e.g. '180') 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
180225900
18022620,340
18022740,860
1802283,420
18022941,220
1802304,140
18023113,860
18023210,440
18023341,940
1802342,340
1802358,460
18023610,620
18023714,220
18023821,420
18023943,020
180240720
18024143,380
18024221,780
1802434,860
18024410,980
1802458,820
1802467,380
18024744,460
18024811,160
18024914,940
1802504,500
18025145,180
1802521,260
18025345,540
18025422,860

FAQ

What's the Least Common Multiple (LCM) of 180 and 240?

LCM of 180 and 240 is 720

How to find the LCM of 180 and 240 using prime factorization?

To find the LCM of 180 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 180 and 240: LCM = 720, GCF = 60.

See Also