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    LCM for 210 and 180

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 210 and 180?

    Answer

    LCM of 210 and 180 is
    1,260

    (One thousand two hundred sixty)

    Finding LCM for 210 and 180 using GCF of these numbers

    The first method to find LCM for numbers 210 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 210 and 180 is 30, so

    LCM = (210 × 180) ÷ 30

    LCM = 37800 ÷ 30

    LCM = 1260

    Finding LCM for 210 and 180 by Listing Multiples

    The second method to find LCM for numbers 210 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470, 1680

    Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620

    So the LCM for 210 and 180 is 1260

    Finding LCM for 210 and 180 by Prime Factorization

    Another method to find LCM for numbers 210 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

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

    22 × 32 × 51 × 71 = 1260

    Related Calculations

    See Also

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    What is the LCM of 210 and 180?. The LCM of 210 and 180 is 1260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2101652310
    21016617430
    21016735070
    210168840
    21016935490
    2101703570
    21017111970
    21017218060
    21017336330
    2101746090
    2101751050
    21017618480
    21017712390
    21017818690
    21017937590
    2101801260
    21018138010
    2101822730
    21018312810
    21018419320
    2101857770
    2101866510
    21018739270
    21018819740
    2101891890
    2101903990
    21019140110
    2101926720
    21019340530
    21019420370

    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 210 and 180? (The answer is: 1260). Select the first number (e.g. '210') 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 210 and 180?

    LCM of 210 and 180 is 1,260

    How to find the LCM of 210 and 180 using prime factorization?

    To find the LCM of 210 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 210 and 180: LCM = 1,260, GCF = 30.

    See Also