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    LCM for 46 and 60

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 46 and 60?

    Answer

    LCM of 46 and 60 is
    1,380

    (One thousand three hundred eighty)

    Finding LCM for 46 and 60 using GCF of these numbers

    The first method to find LCM for numbers 46 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 46 and 60 is 2, so

    LCM = (46 × 60) ÷ 2

    LCM = 2,760 ÷ 2

    LCM = 1,380

    Finding LCM for 46 and 60 by Listing Multiples

    The second method to find LCM for numbers 46 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 46: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1,012, 1,058, 1,104, 1,150, 1,196, 1,242, 1,288, 1,334, 1,380, 1,426, 1,472

    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, 1,380, 1,440, 1,500

    So the LCM for 46 and 60 is 1,380

    Finding LCM for 46 and 60 by Prime Factorization

    Another method to find LCM for numbers 46 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 46: 2, 23 (exponent form: 21, 231)

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

    22 × 231 × 31 × 51 = 1,380

    Related Calculations

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    What is the LCM of 46 and 60?. The LCM of 46 and 60 is 1,380 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    46452,070
    464646
    46472,162
    46481,104
    46492,254
    46501,150
    46512,346
    46521,196
    46532,438
    46541,242
    46552,530
    46561,288
    46572,622
    46581,334
    46592,714
    46601,380
    46612,806
    46621,426
    46632,898
    46641,472
    46652,990
    46661,518
    46673,082
    46681,564
    4669138
    46701,610
    46713,266
    46721,656
    46733,358
    46741,702

    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 46 and 60? (The answer is: 1,380). Select the first number (e.g. '46') and the second number (e.g. '60'). 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 46 and 60?

    LCM of 46 and 60 is 1,380

    How to find the LCM of 46 and 60 using prime factorization?

    To find the LCM of 46 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,380.

    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 46 and 60: LCM = 1,380, GCF = 2.

    See Also