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    LCM for 21 and 69

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 21 and 69?

    Answer

    LCM of 21 and 69 is
    483

    (Four hundred eighty-three)

    Finding LCM for 21 and 69 using GCF of these numbers

    The first method to find LCM for numbers 21 and 69 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 21 and 69 is 3, so

    LCM = (21 × 69) ÷ 3

    LCM = 1,449 ÷ 3

    LCM = 483

    Finding LCM for 21 and 69 by Listing Multiples

    The second method to find LCM for numbers 21 and 69 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525

    Multiples of 69: 69, 138, 207, 276, 345, 414, 483, 552, 621

    So the LCM for 21 and 69 is 483

    Finding LCM for 21 and 69 by Prime Factorization

    Another method to find LCM for numbers 21 and 69 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

    All Prime Factors of 69: 3, 23 (exponent form: 31, 231)

    31 × 71 × 231 = 483

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    What is the LCM of 21 and 69?. The LCM of 21 and 69 is 483 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    212884
    2129609
    2130210
    2132672
    2133231
    2134714
    2135105
    2136252
    2139273
    2141861
    214242
    2143903
    2144924
    2145315
    2147987
    2148336
    2149147
    2151357
    21521,092
    21531,113
    21551,155
    2156168
    21581,218
    21591,239
    2160420
    2169483
    21801,680
    218484
    211002,100
    21105105

    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 21 and 69? (The answer is: 483). Select the first number (e.g. '21') and the second number (e.g. '69'). 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 21 and 69?

    LCM of 21 and 69 is 483

    How to find the LCM of 21 and 69 using prime factorization?

    To find the LCM of 21 and 69, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 483.

    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 21 and 69: LCM = 483, GCF = 3.

    See Also