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    LCM for 100 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 100 and 144?

    Answer

    LCM of 100 and 144 is
    3,600

    (Three thousand six hundred)

    Finding LCM for 100 and 144 using GCF of these numbers

    The first method to find LCM for numbers 100 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 100 and 144 is 4, so

    LCM = (100 × 144) ÷ 4

    LCM = 14,400 ÷ 4

    LCM = 3,600

    Finding LCM for 100 and 144 by Listing Multiples

    The second method to find LCM for numbers 100 and 144 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, 1,300, 1,400, 1,500, 1,600, 1,700, 1,800, 1,900, 2,000, 2,100, 2,200, 2,300, 2,400, 2,500, 2,600, 2,700, 2,800, 2,900, 3,000, 3,100, 3,200, 3,300, 3,400, 3,500, 3,600, 3,700, 3,800

    Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160, 2,304, 2,448, 2,592, 2,736, 2,880, 3,024, 3,168, 3,312, 3,456, 3,600, 3,744, 3,888

    So the LCM for 100 and 144 is 3,600

    Finding LCM for 100 and 144 by Prime Factorization

    Another method to find LCM for numbers 100 and 144 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 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

    24 × 52 × 32 = 3,600

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    What is the LCM of 100 and 144?. The LCM of 100 and 144 is 3,600 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    100100100
    1001052,100
    1001152,300
    100120600
    10012112,100
    100125500
    1001301,300
    1001352,700
    1001443,600
    100150300
    1001553,100
    100160800
    1001653,300
    100175700
    100180900
    1001901,900
    100200200
    1002154,300
    1002201,100
    100225900
    1002302,300
    1002354,700
    1002401,200
    100250500
    1002555,100
    1002601,300
    1002702,700
    1002751,100
    1002855,700
    1002902,900

    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 144? (The answer is: 3,600). Select the first number (e.g. '100') and the second number (e.g. '144'). 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 144?

    LCM of 100 and 144 is 3,600

    How to find the LCM of 100 and 144 using prime factorization?

    To find the LCM of 100 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,600.

    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 144: LCM = 3,600, GCF = 4.

    See Also