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    LCM for 24 and 54

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 24 and 54?

    Answer

    LCM of 24 and 54 is
    216

    (Two hundred sixteen)

    Finding LCM for 24 and 54 using GCF of these numbers

    The first method to find LCM for numbers 24 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 24 and 54 is 6, so

    LCM = (24 × 54) ÷ 6

    LCM = 1296 ÷ 6

    LCM = 216

    Finding LCM for 24 and 54 by Listing Multiples

    The second method to find LCM for numbers 24 and 54 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264

    Multiples of 54: 54, 108, 162, 216, 270, 324

    So the LCM for 24 and 54 is 216

    Finding LCM for 24 and 54 by Prime Factorization

    Another method to find LCM for numbers 24 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

    All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

    23 × 33 = 216

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    What is the LCM of 24 and 54?. The LCM of 24 and 54 is 216 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    24972
    241648
    241872
    2425600
    2427216
    2428168
    2430120
    2431744
    243296
    2435840
    243672
    2440120
    2441984
    2442168
    2444264
    2445360
    2446552
    244848
    2451408
    24531272
    2454216
    24551320
    2456168
    2457456
    2460120
    2464192

    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 24 and 54? (The answer is: 216). Select the first number (e.g. '24') and the second number (e.g. '54'). 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 24 and 54?

    LCM of 24 and 54 is 216

    How to find the LCM of 24 and 54 using prime factorization?

    To find the LCM of 24 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

    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 24 and 54: LCM = 216, GCF = 6.

    See Also