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    LCM for 18 and 24

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 18 and 24?

    Answer

    LCM of 18 and 24 is
    72

    (Seventy-two)

    Finding LCM for 18 and 24 using GCF of these numbers

    The first method to find LCM for numbers 18 and 24 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 18 and 24 is 6, so

    LCM = (18 × 24) ÷ 6

    LCM = 432 ÷ 6

    LCM = 72

    Finding LCM for 18 and 24 by Listing Multiples

    The second method to find LCM for numbers 18 and 24 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 18: 18, 36, 54, 72, 90, 108

    Multiples of 24: 24, 48, 72, 96, 120

    So the LCM for 18 and 24 is 72

    Finding LCM for 18 and 24 by Prime Factorization

    Another method to find LCM for numbers 18 and 24 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

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

    23 × 32 = 72

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    What is the LCM of 18 and 24?. The LCM of 18 and 24 is 72 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    181236
    1814126
    181590
    1820180
    1821126
    1822198
    182472
    1825450
    1826234
    182754
    1828252
    183090
    1831558
    1832288
    1833198
    1835630
    183636
    1837666
    1838342
    1839234
    1840360
    1841738
    1842126
    184590
    1848144
    1849882
    1852468
    185454
    1856504
    1857342

    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 18 and 24? (The answer is: 72). Select the first number (e.g. '18') and the second number (e.g. '24'). 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 18 and 24?

    LCM of 18 and 24 is 72

    How to find the LCM of 18 and 24 using prime factorization?

    To find the LCM of 18 and 24, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

    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 18 and 24: LCM = 72, GCF = 6.

    See Also