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    LCM for 100 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 100 and 1,000?

    Answer

    LCM of 100 and 1,000 is
    1,000

    (One thousand)

    Finding LCM for 100 and 1,000 using GCF of these numbers

    The first method to find LCM for numbers 100 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 100 and 1,000 is 100, so

    LCM = (100 × 1,000) ÷ 100

    LCM = 100,000 ÷ 100

    LCM = 1,000

    Finding LCM for 100 and 1,000 by Listing Multiples

    The second method to find LCM for numbers 100 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200

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

    So the LCM for 100 and 1,000 is 1,000

    Finding LCM for 100 and 1,000 by Prime Factorization

    Another method to find LCM for numbers 100 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

    23 × 53 = 1,000

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    What is the LCM of 100 and 1,000?. The LCM of 100 and 1,000 is 1,000 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1002302,300
    1002354,700
    1002401,200
    100250500
    1002555,100
    1002601,300
    1002702,700
    1002751,100
    1002855,700
    1002902,900
    1003201,600
    1003251,300
    1003303,300
    1003401,700
    1003601,800
    1003657,300
    1003751,500
    1003857,700
    100400400
    1004058,100
    1004158,300
    1004251,700
    1004458,900
    100450900
    1004659,300
    1004704,700
    1004859,700
    1004904,900
    100500500
    1001,0001,000

    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 100 and 1,000? (The answer is: 1,000). Select the first number (e.g. '100') 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 100 and 1,000?

    LCM of 100 and 1,000 is 1,000

    How to find the LCM of 100 and 1,000 using prime factorization?

    To find the LCM of 100 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 100 and 1,000: LCM = 1,000, GCF = 100.

    See Also