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    LCM for 125 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 125 and 1,000?

    Answer

    LCM of 125 and 1,000 is
    1,000

    (One thousand)

    Finding LCM for 125 and 1,000 using GCF of these numbers

    The first method to find LCM for numbers 125 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

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

    LCM = (125 × 1,000) ÷ 125

    LCM = 125,000 ÷ 125

    LCM = 1,000

    Finding LCM for 125 and 1,000 by Listing Multiples

    The second method to find LCM for numbers 125 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1,000, 1,125, 1,250

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

    So the LCM for 125 and 1,000 is 1,000

    Finding LCM for 125 and 1,000 by Prime Factorization

    Another method to find LCM for numbers 125 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 125: 5, 5, 5 (exponent form: 53)

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

    53 × 23 = 1,000

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    What is the LCM of 125 and 1,000?. The LCM of 125 and 1,000 is 1,000 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    12598524,625
    125986123,250
    125987123,375
    125988123,500
    125989123,625
    12599024,750
    125991123,875
    125992124,000
    125993124,125
    125994124,250
    12599524,875
    125996124,500
    125997124,625
    125998124,750
    125999124,875
    1251,0001,000
    1251,001125,125
    1251,002125,250
    1251,003125,375
    1251,004125,500
    1251,00525,125
    1251,006125,750
    1251,007125,875
    1251,008126,000
    1251,009126,125
    1251,01025,250
    1251,011126,375
    1251,012126,500
    1251,013126,625
    1251,014126,750

    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 125 and 1,000? (The answer is: 1,000). Select the first number (e.g. '125') 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 125 and 1,000?

    LCM of 125 and 1,000 is 1,000

    How to find the LCM of 125 and 1,000 using prime factorization?

    To find the LCM of 125 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 125 and 1,000: LCM = 1,000, GCF = 125.

    See Also