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    LCM for 75 and 180

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 75 and 180?

    Answer

    LCM of 75 and 180 is
    900

    (Nine hundred)

    Finding LCM for 75 and 180 using GCF of these numbers

    The first method to find LCM for numbers 75 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 75 and 180 is 15, so

    LCM = (75 × 180) ÷ 15

    LCM = 13500 ÷ 15

    LCM = 900

    Finding LCM for 75 and 180 by Listing Multiples

    The second method to find LCM for numbers 75 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050

    Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

    So the LCM for 75 and 180 is 900

    Finding LCM for 75 and 180 by Prime Factorization

    Another method to find LCM for numbers 75 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    32 × 52 × 22 = 900

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    See Also

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    What is the LCM of 75 and 180?. The LCM of 75 and 180 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    75165825
    7516612450
    7516712525
    751684200
    7516912675
    751702550
    751714275
    7517212900
    7517312975
    751744350
    75175525
    7517613200
    751774425
    7517813350
    7517913425
    75180900
    7518113575
    7518213650
    751834575
    7518413800
    751852775
    751864650
    7518714025
    7518814100
    751894725
    751902850
    7519114325
    751924800
    7519314475
    7519414550

    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 75 and 180? (The answer is: 900). Select the first number (e.g. '75') and the second number (e.g. '180'). 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 75 and 180?

    LCM of 75 and 180 is 900

    How to find the LCM of 75 and 180 using prime factorization?

    To find the LCM of 75 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

    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 75 and 180: LCM = 900, GCF = 15.

    See Also