LCM for 264 and 300

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What's the Least Common Multiple (LCM) of 264 and 300?

Answer

LCM of 264 and 300 is
6,600

(Six thousand six hundred)

Finding LCM for 264 and 300 using GCF of these numbers

The first method to find LCM for numbers 264 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 264 and 300 is 12, so

LCM = (264 × 300) ÷ 12

LCM = 79,200 ÷ 12

LCM = 6,600

Finding LCM for 264 and 300 by Listing Multiples

The second method to find LCM for numbers 264 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 264: 264, 528, 792, 1,056, 1,320, 1,584, 1,848, 2,112, 2,376, 2,640, 2,904, 3,168, 3,432, 3,696, 3,960, 4,224, 4,488, 4,752, 5,016, 5,280, 5,544, 5,808, 6,072, 6,336, 6,600, 6,864, 7,128

Multiples of 300: 300, 600, 900, 1,200, 1,500, 1,800, 2,100, 2,400, 2,700, 3,000, 3,300, 3,600, 3,900, 4,200, 4,500, 4,800, 5,100, 5,400, 5,700, 6,000, 6,300, 6,600, 6,900, 7,200

So the LCM for 264 and 300 is 6,600

Finding LCM for 264 and 300 by Prime Factorization

Another method to find LCM for numbers 264 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 264: 2, 2, 2, 3, 11 (exponent form: 23, 31, 111)

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

23 × 31 × 111 × 52 = 6,600

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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 264 and 300? (The answer is: 6,600). Select the first number (e.g. '264') and the second number (e.g. '300'). 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
26428525,080
2642863,432
26428775,768
2642883,168
26428976,296
26429038,280
26429125,608
26429219,272
26429377,352
26429412,936
26429577,880
2642969,768
2642972,376
26429839,336
26429978,936
2643006,600
26430179,464
26430239,864
26430326,664
26430410,032
26430580,520
26430613,464
26430781,048
2643081,848
26430927,192
26431040,920
26431182,104
2643123,432
26431382,632
26431441,448

FAQ

What's the Least Common Multiple (LCM) of 264 and 300?

LCM of 264 and 300 is 6,600

How to find the LCM of 264 and 300 using prime factorization?

To find the LCM of 264 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,600.

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 264 and 300: LCM = 6,600, GCF = 12.

See Also