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    LCM for 47 and 48

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 47 and 48?

    Answer

    LCM of 47 and 48 is
    2,256

    (Two thousand two hundred fifty-six)

    Finding LCM for 47 and 48 using GCF of these numbers

    The first method to find LCM for numbers 47 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 47 and 48 is 1, so

    LCM = (47 × 48) ÷ 1

    LCM = 2256 ÷ 1

    LCM = 2256

    Finding LCM for 47 and 48 by Listing Multiples

    The second method to find LCM for numbers 47 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2209, 2256, 2303, 2350

    Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352

    So the LCM for 47 and 48 is 2256

    Finding LCM for 47 and 48 by Prime Factorization

    Another method to find LCM for numbers 47 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 47: 47 (exponent form: 471)

    All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

    471 × 24 × 31 = 2256

    Related Calculations

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    What is the LCM of 47 and 48?. The LCM of 47 and 48 is 2256 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    47331551
    47341598
    47351645
    47361692
    47371739
    47381786
    47391833
    47401880
    47411927
    47421974
    47432021
    47442068
    47452115
    47462162
    474747
    47482256
    47492303
    47502350
    47512397
    47522444
    47532491
    47542538
    47552585
    47562632
    47572679
    47582726
    47592773
    47602820
    47612867
    47622914

    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 47 and 48? (The answer is: 2256). Select the first number (e.g. '47') and the second number (e.g. '48'). 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 47 and 48?

    LCM of 47 and 48 is 2,256

    How to find the LCM of 47 and 48 using prime factorization?

    To find the LCM of 47 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,256.

    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 47 and 48: LCM = 2,256, GCF = 1.

    See Also