LCM for 144 and 1,000

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What's the Least Common Multiple (LCM) of 144 and 1,000?

Answer

LCM of 144 and 1,000 is
18,000

(Eighteen thousand)

Finding LCM for 144 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 144 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 144 and 1,000 is 8, so

LCM = (144 × 1,000) ÷ 8

LCM = 144,000 ÷ 8

LCM = 18,000

Finding LCM for 144 and 1,000 by Listing Multiples

The second method to find LCM for numbers 144 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160, 2,304, 2,448, 2,592, 2,736, 2,880, 3,024, 3,168, 3,312, 3,456, 3,600, 3,744, 3,888, 4,032, 4,176, 4,320, 4,464, 4,608, 4,752, 4,896, 5,040, 5,184, 5,328, 5,472, 5,616, 5,760, 5,904, 6,048, 6,192, 6,336, 6,480, 6,624, 6,768, 6,912, 7,056, 7,200, 7,344, 7,488, 7,632, 7,776, 7,920, 8,064, 8,208, 8,352, 8,496, 8,640, 8,784, 8,928, 9,072, 9,216, 9,360, 9,504, 9,648, 9,792, 9,936, 10,080, 10,224, 10,368, 10,512, 10,656, 10,800, 10,944, 11,088, 11,232, 11,376, 11,520, 11,664, 11,808, 11,952, 12,096, 12,240, 12,384, 12,528, 12,672, 12,816, 12,960, 13,104, 13,248, 13,392, 13,536, 13,680, 13,824, 13,968, 14,112, 14,256, 14,400, 14,544, 14,688, 14,832, 14,976, 15,120, 15,264, 15,408, 15,552, 15,696, 15,840, 15,984, 16,128, 16,272, 16,416, 16,560, 16,704, 16,848, 16,992, 17,136, 17,280, 17,424, 17,568, 17,712, 17,856, 18,000, 18,144, 18,288

Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000, 10,000, 11,000, 12,000, 13,000, 14,000, 15,000, 16,000, 17,000, 18,000, 19,000, 20,000

So the LCM for 144 and 1,000 is 18,000

Finding LCM for 144 and 1,000 by Prime Factorization

Another method to find LCM for numbers 144 and 1,000 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 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

24 × 32 × 53 = 18,000

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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 144 and 1,000? (The answer is: 18,000). Select the first number (e.g. '144') and the second number (e.g. '1,000'). 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
144985141,840
14498670,992
14498747,376
14498835,568
144989142,416
1449907,920
144991142,704
1449928,928
14499347,664
14499471,568
144995143,280
14499611,952
144997143,568
14499871,856
14499915,984
1441,00018,000
1441,001144,144
1441,00224,048
1441,003144,432
1441,00436,144
1441,00548,240
1441,00672,432
1441,007145,008
1441,0081,008
1441,009145,296
1441,01072,720
1441,01148,528
1441,01236,432
1441,013145,872
1441,01424,336

FAQ

What's the Least Common Multiple (LCM) of 144 and 1,000?

LCM of 144 and 1,000 is 18,000

How to find the LCM of 144 and 1,000 using prime factorization?

To find the LCM of 144 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 18,000.

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 144 and 1,000: LCM = 18,000, GCF = 8.

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