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    LCM for 54 and 72

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 54 and 72?

    Answer

    LCM of 54 and 72 is
    216

    (Two hundred sixteen)

    Finding LCM for 54 and 72 using GCF of these numbers

    The first method to find LCM for numbers 54 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 54 and 72 is 18, so

    LCM = (54 × 72) ÷ 18

    LCM = 3,888 ÷ 18

    LCM = 216

    Finding LCM for 54 and 72 by Listing Multiples

    The second method to find LCM for numbers 54 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

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

    Multiples of 72: 72, 144, 216, 288, 360

    So the LCM for 54 and 72 is 216

    Finding LCM for 54 and 72 by Prime Factorization

    Another method to find LCM for numbers 54 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

    23 × 33 = 216

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    What is the LCM of 54 and 72?. The LCM of 54 and 72 is 216 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    54571,026
    54581,566
    54593,186
    5460540
    54613,294
    54621,674
    5463378
    54641,728
    54653,510
    5466594
    54673,618
    54681,836
    54691,242
    54701,890
    54713,834
    5472216
    54733,942
    54741,998
    54751,350
    54762,052
    54774,158
    5478702
    54794,266
    54802,160
    5481162
    54822,214
    54834,482
    5484756
    54854,590
    54862,322

    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 54 and 72? (The answer is: 216). Select the first number (e.g. '54') and the second number (e.g. '72'). 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 54 and 72?

    LCM of 54 and 72 is 216

    How to find the LCM of 54 and 72 using prime factorization?

    To find the LCM of 54 and 72, 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 54 and 72: LCM = 216, GCF = 18.

    See Also