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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 = 2760 ÷ 2

    LCM = 1380

    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, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380, 1426, 1472

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500

    So the LCM for 46 and 60 is 1380

    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 = 1380

    Related Calculations

    See Also

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    What is the LCM of 46 and 60?. The LCM of 46 and 60 is 1380 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    46452070
    464646
    46472162
    46481104
    46492254
    46501150
    46512346
    46521196
    46532438
    46541242
    46552530
    46561288
    46572622
    46581334
    46592714
    46601380
    46612806
    46621426
    46632898
    46641472
    46652990
    46661518
    46673082
    46681564
    4669138
    46701610
    46713266
    46721656
    46733358
    46741702

    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: 1380). 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