LCM for 180 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

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's 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 = 43200 ÷ 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 nubmers and pick the first which matching:

Multiples of 180: 180, 360, 540, 720, 900, 1080

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

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

Related Calculations

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LCM Table

Number 1Number 2LCM
1652402640
16624019920
16724040080
1682401680
16924040560
1702404080
17124013680
17224010320
17324041520
1742406960
1752408400
1762402640
17724014160
17824021360
17924042960
180240720
18124043440
18224021840
18324014640
1842405520
1852408880
1862407440
18724044880
18824011280
18924015120
1902404560
19124045840
192240960
19324046320
19424023280

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

Least Common Multiple of

and

FAQ

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

LCM of 180 and 240 is 720

See Also