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    LCM for 180 and 330

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 180 and 330?

    Answer

    LCM of 180 and 330 is
    1,980

    (One thousand nine hundred eighty)

    Finding LCM for 180 and 330 using GCF of these numbers

    The first method to find LCM for numbers 180 and 330 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 180 and 330 is 30, so

    LCM = (180 × 330) ÷ 30

    LCM = 59,400 ÷ 30

    LCM = 1,980

    Finding LCM for 180 and 330 by Listing Multiples

    The second method to find LCM for numbers 180 and 330 is to list out the common multiples for both numbers and pick the first one that matches:

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

    Multiples of 330: 330, 660, 990, 1,320, 1,650, 1,980, 2,310, 2,640

    So the LCM for 180 and 330 is 1,980

    Finding LCM for 180 and 330 by Prime Factorization

    Another method to find LCM for numbers 180 and 330 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 330: 2, 3, 5, 11 (exponent form: 21, 31, 51, 111)

    22 × 32 × 51 × 111 = 1,980

    Related Calculations

    See Also

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    What is the LCM of 180 and 330?. The LCM of 180 and 330 is 1,980 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1803151,260
    18031614,220
    18031757,060
    1803189,540
    18031957,420
    1803202,880
    18032119,260
    18032228,980
    18032358,140
    1803241,620
    18032511,700
    18032629,340
    18032719,620
    18032814,760
    18032959,220
    1803301,980
    18033159,580
    18033214,940
    1803336,660
    18033430,060
    18033512,060
    1803365,040
    18033760,660
    18033830,420
    18033920,340
    1803403,060
    18034161,380
    1803423,420
    18034361,740
    18034415,480

    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 180 and 330? (The answer is: 1,980). Select the first number (e.g. '180') and the second number (e.g. '330'). 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 180 and 330?

    LCM of 180 and 330 is 1,980

    How to find the LCM of 180 and 330 using prime factorization?

    To find the LCM of 180 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,980.

    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 180 and 330: LCM = 1,980, GCF = 30.

    See Also