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    LCM for 80 and 420

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 80 and 420?

    Answer

    LCM of 80 and 420 is
    1,680

    (One thousand six hundred eighty)

    Finding LCM for 80 and 420 using GCF of these numbers

    The first method to find LCM for numbers 80 and 420 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 80 and 420 is 20, so

    LCM = (80 × 420) ÷ 20

    LCM = 33,600 ÷ 20

    LCM = 1,680

    Finding LCM for 80 and 420 by Listing Multiples

    The second method to find LCM for numbers 80 and 420 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, 1,040, 1,120, 1,200, 1,280, 1,360, 1,440, 1,520, 1,600, 1,680, 1,760, 1,840

    Multiples of 420: 420, 840, 1,260, 1,680, 2,100, 2,520

    So the LCM for 80 and 420 is 1,680

    Finding LCM for 80 and 420 by Prime Factorization

    Another method to find LCM for numbers 80 and 420 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 420: 2, 2, 3, 5, 7 (exponent form: 22, 31, 51, 71)

    24 × 51 × 31 × 71 = 1,680

    See Also

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    What is the LCM of 80 and 420?. The LCM of 80 and 420 is 1,680 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    801752,800
    80180720
    801852,960
    80200400
    802053,280
    802101,680
    802153,440
    802301,840
    80240240
    802453,920
    802554,080
    802702,160
    802754,400
    802854,560
    802902,320
    803001,200
    803255,200
    803502,800
    803555,680
    803956,320
    804056,480
    804156,640
    804201,680
    804356,960
    80440880
    804457,120
    804757,600
    804903,920
    804957,920
    805002,000

    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 420? (The answer is: 1,680). Select the first number (e.g. '80') and the second number (e.g. '420'). 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 420?

    LCM of 80 and 420 is 1,680

    How to find the LCM of 80 and 420 using prime factorization?

    To find the LCM of 80 and 420, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,680.

    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 420: LCM = 1,680, GCF = 20.

    See Also