LCM for 36 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 240?

Answer: LCM of 36 and 240 is 720

(Seven hundred twenty)

Finding LCM for 36 and 240 using GCF's of these numbers

The first method to find LCM for numbers 36 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 240 is 12, so

LCM = (36 × 240) ÷ 12

LCM = 8640 ÷ 12

LCM = 720

Finding LCM for 36 and 240 by Listing Multiples

The second method to find LCM for numbers 36 and 240 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792

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

So the LCM for 36 and 240 is 720

Finding LCM for 36 and 240 by Prime Factorization

Another method to find LCM for numbers 36 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

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

24 × 32 × 51 = 720

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LCM Table

Number 1Number 2LCM
212401680
222402640
232405520
24240240
252401200
262403120
272402160
282401680
292406960
30240240
312407440
32240480
332402640
342404080
352401680
36240720
372408880
382404560
392403120
40240240
412409840
422401680
4324010320
442402640
45240720
462405520
4724011280
48240240
4924011760
502401200

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 36 and 240? (The answer is: 720). Select the first number (e.g. '36') 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 36 and 240?

LCM of 36 and 240 is 720

See Also