LCM for 8 and 1,000

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What's the Least Common Multiple (LCM) of 8 and 1,000?

Answer

LCM of 8 and 1,000 is
1,000

(One thousand)

Finding LCM for 8 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 8 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

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

LCM = (8 × 1,000) ÷ 8

LCM = 8,000 ÷ 8

LCM = 1,000

Finding LCM for 8 and 1,000 by Listing Multiples

The second method to find LCM for numbers 8 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520, 528, 536, 544, 552, 560, 568, 576, 584, 592, 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696, 704, 712, 720, 728, 736, 744, 752, 760, 768, 776, 784, 792, 800, 808, 816, 824, 832, 840, 848, 856, 864, 872, 880, 888, 896, 904, 912, 920, 928, 936, 944, 952, 960, 968, 976, 984, 992, 1,000, 1,008, 1,016

Multiples of 1,000: 1,000, 2,000, 3,000

So the LCM for 8 and 1,000 is 1,000

Finding LCM for 8 and 1,000 by Prime Factorization

Another method to find LCM for numbers 8 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

23 × 53 = 1,000

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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 8 and 1,000? (The answer is: 1,000). Select the first number (e.g. '8') 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
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
84848
849392
851408
852104
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200
8120120
81,0001,000

FAQ

What's the Least Common Multiple (LCM) of 8 and 1,000?

LCM of 8 and 1,000 is 1,000

How to find the LCM of 8 and 1,000 using prime factorization?

To find the LCM of 8 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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

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