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    LCM for 875 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 875 and 1,000?

    Answer

    LCM of 875 and 1,000 is
    7,000

    (Seven thousand)

    Finding LCM for 875 and 1,000 using GCF of these numbers

    The first method to find LCM for numbers 875 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 875 and 1,000 is 125, so

    LCM = (875 × 1,000) ÷ 125

    LCM = 875,000 ÷ 125

    LCM = 7,000

    Finding LCM for 875 and 1,000 by Listing Multiples

    The second method to find LCM for numbers 875 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 875: 875, 1,750, 2,625, 3,500, 4,375, 5,250, 6,125, 7,000, 7,875, 8,750

    Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000

    So the LCM for 875 and 1,000 is 7,000

    Finding LCM for 875 and 1,000 by Prime Factorization

    Another method to find LCM for numbers 875 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 875: 5, 5, 5, 7 (exponent form: 53, 71)

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

    53 × 71 × 23 = 7,000

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    What is the LCM of 875 and 1,000?. The LCM of 875 and 1,000 is 7,000 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    875985172,375
    875986862,750
    875987123,375
    875988864,500
    875989865,375
    875990173,250
    875991867,125
    875992868,000
    875993868,875
    875994124,250
    875995174,125
    875996871,500
    875997872,375
    875998873,250
    875999874,125
    8751,0007,000
    8751,001125,125
    8751,002876,750
    8751,003877,625
    8751,004878,500
    8751,005175,875
    8751,006880,250
    8751,007881,125
    8751,008126,000
    8751,009882,875
    8751,010176,750
    8751,011884,625
    8751,012885,500
    8751,013886,375
    8751,014887,250

    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 875 and 1,000? (The answer is: 7,000). Select the first number (e.g. '875') 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 875 and 1,000?

    LCM of 875 and 1,000 is 7,000

    How to find the LCM of 875 and 1,000 using prime factorization?

    To find the LCM of 875 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,000.

    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 875 and 1,000: LCM = 7,000, GCF = 125.

    See Also