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    LCM for 27 and 30

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 27 and 30?

    Answer

    LCM of 27 and 30 is
    270

    (Two hundred seventy)

    Finding LCM for 27 and 30 using GCF of these numbers

    The first method to find LCM for numbers 27 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 27 and 30 is 3, so

    LCM = (27 × 30) ÷ 3

    LCM = 810 ÷ 3

    LCM = 270

    Finding LCM for 27 and 30 by Listing Multiples

    The second method to find LCM for numbers 27 and 30 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324

    Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330

    So the LCM for 27 and 30 is 270

    Finding LCM for 27 and 30 by Prime Factorization

    Another method to find LCM for numbers 27 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

    All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

    33 × 21 × 51 = 270

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    What is the LCM of 27 and 30?. The LCM of 27 and 30 is 270 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    271854
    2728756
    2730270
    2732864
    2733297
    2735945
    2736108
    2739351
    27401080
    2742378
    27431161
    27441188
    2745135
    27491323
    27501350
    27531431
    275454
    27641728
    2775675
    271253375

    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 27 and 30? (The answer is: 270). Select the first number (e.g. '27') and the second number (e.g. '30'). 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 27 and 30?

    LCM of 27 and 30 is 270

    How to find the LCM of 27 and 30 using prime factorization?

    To find the LCM of 27 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

    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 27 and 30: LCM = 270, GCF = 3.

    See Also