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    LCM for 13 and 20

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 13 and 20?

    Answer

    LCM of 13 and 20 is
    260

    (Two hundred sixty)

    Finding LCM for 13 and 20 using GCF of these numbers

    The first method to find LCM for numbers 13 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 13 and 20 is 1, so

    LCM = (13 × 20) ÷ 1

    LCM = 260 ÷ 1

    LCM = 260

    Finding LCM for 13 and 20 by Listing Multiples

    The second method to find LCM for numbers 13 and 20 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286

    Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300

    So the LCM for 13 and 20 is 260

    Finding LCM for 13 and 20 by Prime Factorization

    Another method to find LCM for numbers 13 and 20 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 13: 13 (exponent form: 131)

    All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

    131 × 22 × 51 = 260

    Related Calculations

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    What is the LCM of 13 and 20?. The LCM of 13 and 20 is 260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    13678
    138104
    1314182
    1315195
    1316208
    1317221
    1318234
    1319247
    1320260
    1321273
    1322286
    1323299
    1324312
    132626
    1327351
    1329377
    1330390
    1334442
    1335455
    1337481
    133939
    1340520
    1341533
    1342546
    1345585
    1347611
    1349637
    1350650
    135252
    1356728

    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 13 and 20? (The answer is: 260). Select the first number (e.g. '13') and the second number (e.g. '20'). 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 13 and 20?

    LCM of 13 and 20 is 260

    How to find the LCM of 13 and 20 using prime factorization?

    To find the LCM of 13 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 260.

    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 13 and 20: LCM = 260, GCF = 1.

    See Also