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    LCM for 60 and 235

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 60 and 235?

    Answer

    LCM of 60 and 235 is
    2,820

    (Two thousand eight hundred twenty)

    Finding LCM for 60 and 235 using GCF of these numbers

    The first method to find LCM for numbers 60 and 235 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 60 and 235 is 5, so

    LCM = (60 × 235) ÷ 5

    LCM = 14100 ÷ 5

    LCM = 2820

    Finding LCM for 60 and 235 by Listing Multiples

    The second method to find LCM for numbers 60 and 235 is to list out the common multiples for both numbers and pick the first one that matches:

    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, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940

    Multiples of 235: 235, 470, 705, 940, 1175, 1410, 1645, 1880, 2115, 2350, 2585, 2820, 3055, 3290

    So the LCM for 60 and 235 is 2820

    Finding LCM for 60 and 235 by Prime Factorization

    Another method to find LCM for numbers 60 and 235 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 235: 5, 47 (exponent form: 51, 471)

    22 × 31 × 51 × 471 = 2820

    Related Calculations

    See Also

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    What is the LCM of 60 and 235?. The LCM of 60 and 235 is 2820 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    6072360
    60100300
    60110660
    601251500
    60135540
    60140420
    60150300
    601551860
    60160480
    601752100
    601852220
    601901140
    60210420
    602152580
    60220660
    602352820
    60240240
    602452940
    602501500
    60260780
    602753300
    60280840
    602901740
    602953540
    603151260
    60320960
    60330660
    603401020
    603451380
    60360360

    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 60 and 235? (The answer is: 2820). Select the first number (e.g. '60') and the second number (e.g. '235'). 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 60 and 235?

    LCM of 60 and 235 is 2,820

    How to find the LCM of 60 and 235 using prime factorization?

    To find the LCM of 60 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,820.

    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 60 and 235: LCM = 2,820, GCF = 5.

    See Also