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    LCM for 34 and 48

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 34 and 48?

    Answer

    LCM of 34 and 48 is
    816

    (Eight hundred sixteen)

    Finding LCM for 34 and 48 using GCF of these numbers

    The first method to find LCM for numbers 34 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 34 and 48 is 2, so

    LCM = (34 × 48) ÷ 2

    LCM = 1632 ÷ 2

    LCM = 816

    Finding LCM for 34 and 48 by Listing Multiples

    The second method to find LCM for numbers 34 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884

    Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912

    So the LCM for 34 and 48 is 816

    Finding LCM for 34 and 48 by Prime Factorization

    Another method to find LCM for numbers 34 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 34: 2, 17 (exponent form: 21, 171)

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

    24 × 171 × 31 = 816

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    What is the LCM of 34 and 48?. The LCM of 34 and 48 is 816 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    34331122
    343434
    34351190
    3436612
    34371258
    3438646
    34391326
    3440680
    34411394
    3442714
    34431462
    3444748
    34451530
    3446782
    34471598
    3448816
    34491666
    3450850
    3451102
    3452884
    34531802
    3454918
    34551870
    3456952
    34571938
    3458986
    34592006
    34601020
    34612074
    34621054

    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 34 and 48? (The answer is: 816). Select the first number (e.g. '34') 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 34 and 48?

    LCM of 34 and 48 is 816

    How to find the LCM of 34 and 48 using prime factorization?

    To find the LCM of 34 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 816.

    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 34 and 48: LCM = 816, GCF = 2.

    See Also