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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 = 3,480 ÷ 2

    LCM = 1,740

    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 1,740

    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 = 1,740

    Related Calculations

    See Also

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    What is the LCM of 58 and 60?. The LCM of 58 and 60 is 1,740 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    58452,610
    58461,334
    58472,726
    58481,392
    58492,842
    58501,450
    58512,958
    58521,508
    58533,074
    58541,566
    58553,190
    58561,624
    58573,306
    585858
    58593,422
    58601,740
    58613,538
    58621,798
    58633,654
    58641,856
    58653,770
    58661,914
    58673,886
    58681,972
    58694,002
    58702,030
    58714,118
    58722,088
    58734,234
    58742,146

    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: 1,740). 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