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    LCM for 625 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 625 and 1,000?

    Answer

    LCM of 625 and 1,000 is
    5,000

    (Five thousand)

    Finding LCM for 625 and 1,000 using GCF of these numbers

    The first method to find LCM for numbers 625 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 625 and 1,000 is 125, so

    LCM = (625 × 1,000) ÷ 125

    LCM = 625,000 ÷ 125

    LCM = 5,000

    Finding LCM for 625 and 1,000 by Listing Multiples

    The second method to find LCM for numbers 625 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

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

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

    So the LCM for 625 and 1,000 is 5,000

    Finding LCM for 625 and 1,000 by Prime Factorization

    Another method to find LCM for numbers 625 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 625: 5, 5, 5, 5 (exponent form: 54)

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

    54 × 23 = 5,000

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    What is the LCM of 625 and 1,000?. The LCM of 625 and 1,000 is 5,000 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    625985123,125
    625986616,250
    625987616,875
    625988617,500
    625989618,125
    625990123,750
    625991619,375
    625992620,000
    625993620,625
    625994621,250
    625995124,375
    625996622,500
    625997623,125
    625998623,750
    625999624,375
    6251,0005,000
    6251,001625,625
    6251,002626,250
    6251,003626,875
    6251,004627,500
    6251,005125,625
    6251,006628,750
    6251,007629,375
    6251,008630,000
    6251,009630,625
    6251,010126,250
    6251,011631,875
    6251,012632,500
    6251,013633,125
    6251,014633,750

    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 625 and 1,000? (The answer is: 5,000). Select the first number (e.g. '625') 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 625 and 1,000?

    LCM of 625 and 1,000 is 5,000

    How to find the LCM of 625 and 1,000 using prime factorization?

    To find the LCM of 625 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,000.

    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 625 and 1,000: LCM = 5,000, GCF = 125.

    See Also