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    LCM for 8 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    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

    Related Calculations

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    What is the LCM of 8 and 1,000?. The LCM of 8 and 1,000 is 1,000 — the smallest common multiple of both integers.
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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

    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
    Least Common Multiple of
    and

    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.

    See Also