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    LCM for 168 and 180

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 168 and 180?

    Answer

    LCM of 168 and 180 is
    2,520

    (Two thousand five hundred twenty)

    Finding LCM for 168 and 180 using GCF of these numbers

    The first method to find LCM for numbers 168 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 168 and 180 is 12, so

    LCM = (168 × 180) ÷ 12

    LCM = 30,240 ÷ 12

    LCM = 2,520

    Finding LCM for 168 and 180 by Listing Multiples

    The second method to find LCM for numbers 168 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 168: 168, 336, 504, 672, 840, 1,008, 1,176, 1,344, 1,512, 1,680, 1,848, 2,016, 2,184, 2,352, 2,520, 2,688, 2,856

    Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620, 1,800, 1,980, 2,160, 2,340, 2,520, 2,700, 2,880

    So the LCM for 168 and 180 is 2,520

    Finding LCM for 168 and 180 by Prime Factorization

    Another method to find LCM for numbers 168 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    23 × 32 × 71 × 51 = 2,520

    Related Calculations

    See Also

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    What is the LCM of 168 and 180?. The LCM of 168 and 180 is 2,520 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1681659,240
    16816613,944
    16816728,056
    168168168
    16816928,392
    16817014,280
    1681719,576
    1681727,224
    16817329,064
    1681744,872
    1681754,200
    1681763,696
    1681779,912
    16817814,952
    16817930,072
    1681802,520
    16818130,408
    1681822,184
    16818310,248
    1681843,864
    16818531,080
    1681865,208
    16818731,416
    1681887,896
    1681891,512
    16819015,960
    16819132,088
    1681921,344
    16819332,424
    16819416,296

    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 168 and 180? (The answer is: 2,520). Select the first number (e.g. '168') and the second number (e.g. '180'). 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 168 and 180?

    LCM of 168 and 180 is 2,520

    How to find the LCM of 168 and 180 using prime factorization?

    To find the LCM of 168 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

    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 168 and 180: LCM = 2,520, GCF = 12.

    See Also