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    LCM for 80 and 300

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 80 and 300?

    Answer

    LCM of 80 and 300 is
    1,200

    (One thousand two hundred)

    Finding LCM for 80 and 300 using GCF of these numbers

    The first method to find LCM for numbers 80 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 80 and 300 is 20, so

    LCM = (80 × 300) ÷ 20

    LCM = 24000 ÷ 20

    LCM = 1200

    Finding LCM for 80 and 300 by Listing Multiples

    The second method to find LCM for numbers 80 and 300 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360

    Multiples of 300: 300, 600, 900, 1200, 1500, 1800

    So the LCM for 80 and 300 is 1200

    Finding LCM for 80 and 300 by Prime Factorization

    Another method to find LCM for numbers 80 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)

    All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

    24 × 52 × 31 = 1200

    Related Calculations

    See Also

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    What is the LCM of 80 and 300?. The LCM of 80 and 300 is 1200 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    801752800
    80180720
    801852960
    80200400
    802053280
    802101680
    802153440
    802301840
    80240240
    802453920
    802554080
    802702160
    802754400
    802854560
    802902320
    803001200
    803255200
    803502800
    803555680
    803956320
    804056480
    804156640
    804201680
    804356960
    80440880
    804457120
    804757600
    804903920
    804957920
    805002000

    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 80 and 300? (The answer is: 1200). Select the first number (e.g. '80') 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 80 and 300?

    LCM of 80 and 300 is 1,200

    How to find the LCM of 80 and 300 using prime factorization?

    To find the LCM of 80 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

    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 80 and 300: LCM = 1,200, GCF = 20.

    See Also