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    LCM for 60 and 400

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 60 and 400?

    Answer

    LCM of 60 and 400 is
    1,200

    (One thousand two hundred)

    Finding LCM for 60 and 400 using GCF of these numbers

    The first method to find LCM for numbers 60 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 60 and 400 is 20, so

    LCM = (60 × 400) ÷ 20

    LCM = 24,000 ÷ 20

    LCM = 1,200

    Finding LCM for 60 and 400 by Listing Multiples

    The second method to find LCM for numbers 60 and 400 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320

    Multiples of 400: 400, 800, 1,200, 1,600, 2,000

    So the LCM for 60 and 400 is 1,200

    Finding LCM for 60 and 400 by Prime Factorization

    Another method to find LCM for numbers 60 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)

    24 × 31 × 52 = 1,200

    Related Calculations

    See Also

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    What is the LCM of 60 and 400?. The LCM of 60 and 400 is 1,200 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    60220660
    602352,820
    60240240
    602452,940
    602501,500
    60260780
    602753,300
    60280840
    602901,740
    602953,540
    603151,260
    60320960
    60330660
    603401,020
    603451,380
    60360360
    603654,380
    603702,220
    60390780
    604001,200
    604102,460
    604154,980
    604302,580
    604351,740
    604455,340
    604555,460
    604651,860
    604902,940
    604951,980
    605001,500

    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 60 and 400? (The answer is: 1,200). Select the first number (e.g. '60') and the second number (e.g. '400'). 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 60 and 400?

    LCM of 60 and 400 is 1,200

    How to find the LCM of 60 and 400 using prime factorization?

    To find the LCM of 60 and 400, 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 60 and 400: LCM = 1,200, GCF = 20.

    See Also