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    LCM for 58 and 60

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 58 and 60?

    Answer

    LCM of 58 and 60 is
    1,740

    (One thousand seven hundred forty)

    Finding LCM for 58 and 60 using GCF of these numbers

    The first method to find LCM for numbers 58 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 58 and 60 is 2, so

    LCM = (58 × 60) ÷ 2

    LCM = 3480 ÷ 2

    LCM = 1740

    Finding LCM for 58 and 60 by Listing Multiples

    The second method to find LCM for numbers 58 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334, 1392, 1450, 1508, 1566, 1624, 1682, 1740, 1798, 1856

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860

    So the LCM for 58 and 60 is 1740

    Finding LCM for 58 and 60 by Prime Factorization

    Another method to find LCM for numbers 58 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    22 × 291 × 31 × 51 = 1740

    Related Calculations

    See Also

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    What is the LCM of 58 and 60?. The LCM of 58 and 60 is 1740 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    58452610
    58461334
    58472726
    58481392
    58492842
    58501450
    58512958
    58521508
    58533074
    58541566
    58553190
    58561624
    58573306
    585858
    58593422
    58601740
    58613538
    58621798
    58633654
    58641856
    58653770
    58661914
    58673886
    58681972
    58694002
    58702030
    58714118
    58722088
    58734234
    58742146

    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 58 and 60? (The answer is: 1740). Select the first number (e.g. '58') and the second number (e.g. '60'). 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 58 and 60?

    LCM of 58 and 60 is 1,740

    How to find the LCM of 58 and 60 using prime factorization?

    To find the LCM of 58 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

    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 58 and 60: LCM = 1,740, GCF = 2.

    See Also