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    LCM for 210 and 300

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 210 and 300?

    Answer

    LCM of 210 and 300 is
    2,100

    (Two thousand one hundred)

    Finding LCM for 210 and 300 using GCF of these numbers

    The first method to find LCM for numbers 210 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 210 and 300 is 30, so

    LCM = (210 × 300) ÷ 30

    LCM = 63,000 ÷ 30

    LCM = 2,100

    Finding LCM for 210 and 300 by Listing Multiples

    The second method to find LCM for numbers 210 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 210: 210, 420, 630, 840, 1,050, 1,260, 1,470, 1,680, 1,890, 2,100, 2,310, 2,520

    Multiples of 300: 300, 600, 900, 1,200, 1,500, 1,800, 2,100, 2,400, 2,700

    So the LCM for 210 and 300 is 2,100

    Finding LCM for 210 and 300 by Prime Factorization

    Another method to find LCM for numbers 210 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

    22 × 31 × 52 × 71 = 2,100

    Related Calculations

    See Also

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    What is the LCM of 210 and 300?. The LCM of 210 and 300 is 2,100 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2102853,990
    21028630,030
    2102878,610
    21028810,080
    21028960,690
    2102906,090
    21029120,370
    21029230,660
    21029361,530
    2102941,470
    21029512,390
    21029631,080
    21029720,790
    21029831,290
    21029962,790
    2103002,100
    2103019,030
    21030231,710
    21030321,210
    21030431,920
    21030512,810
    21030610,710
    21030764,470
    2103084,620
    21030921,630
    2103106,510
    21031165,310
    21031210,920
    21031365,730
    21031432,970

    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 300? (The answer is: 2,100). Select the first number (e.g. '210') and the second number (e.g. '300'). 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 300?

    LCM of 210 and 300 is 2,100

    How to find the LCM of 210 and 300 using prime factorization?

    To find the LCM of 210 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

    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 300: LCM = 2,100, GCF = 30.

    See Also