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    LCM for 100 and 135

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 100 and 135?

    Answer

    LCM of 100 and 135 is
    2,700

    (Two thousand seven hundred)

    Finding LCM for 100 and 135 using GCF of these numbers

    The first method to find LCM for numbers 100 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 100 and 135 is 5, so

    LCM = (100 × 135) ÷ 5

    LCM = 13500 ÷ 5

    LCM = 2700

    Finding LCM for 100 and 135 by Listing Multiples

    The second method to find LCM for numbers 100 and 135 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, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900

    Multiples of 135: 135, 270, 405, 540, 675, 810, 945, 1080, 1215, 1350, 1485, 1620, 1755, 1890, 2025, 2160, 2295, 2430, 2565, 2700, 2835, 2970

    So the LCM for 100 and 135 is 2700

    Finding LCM for 100 and 135 by Prime Factorization

    Another method to find LCM for numbers 100 and 135 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 135: 3, 3, 3, 5 (exponent form: 33, 51)

    22 × 52 × 33 = 2700

    Related Calculations

    See Also

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    What is the LCM of 100 and 135?. The LCM of 100 and 135 is 2700 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    100100100
    1001052100
    1001152300
    100120600
    100125500
    1001301300
    1001352700
    100150300
    1001553100
    100160800
    1001653300
    100175700
    100180900
    1001901900
    100200200
    1002154300
    1002201100
    100225900
    1002302300
    1002354700
    1002401200
    100250500
    1002555100
    1002601300
    1002702700
    1002751100
    1002855700
    1002902900
    1003201600
    1003251300

    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 135? (The answer is: 2700). Select the first number (e.g. '100') and the second number (e.g. '135'). 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 135?

    LCM of 100 and 135 is 2,700

    How to find the LCM of 100 and 135 using prime factorization?

    To find the LCM of 100 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,700.

    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 135: LCM = 2,700, GCF = 5.

    See Also