Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 4, 9 and 36

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 4, 9 and 36?

    Answer

    LCM of 4, 9 and 36 is
    36

    (Thirty-six)

    36 is the smallest positive integer that 4, 9 and 36 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 4, 9 and 36 by Prime Factorization

    Split all three numbers into prime factors, then take every prime that shows up in at least one of them, each raised to the highest power it reaches there. Multiplying those highest powers gives the least common multiple:

    All Prime Factors of 4: 2 × 2 (exponent form: 22)

    All Prime Factors of 9: 3 × 3 (exponent form: 32)

    All Prime Factors of 36: 2 × 2 × 3 × 3 (exponent form: 22 × 32)

    Prime factor4936Highest power
    222—2222
    3—323232

    LCM = 22 × 32 = 36

    Checking the LCM of 4, 9 and 36 Two Numbers at a Time

    The least common multiple is associative, so three numbers can be handled as two pairs: first the LCM of the first two, then the LCM of that value and the third. Each pair goes through the two-number formula, which uses the greatest common divisor:

    LCM(a, b) = (a × b) ÷ GCD(a, b)

    LCM(4, 9) = (4 × 9) ÷ 1 = 36 ÷ 1 = 36

    LCM(36, 36) = (36 × 36) ÷ 36 = 1,296 ÷ 36 = 36

    LCM(4, 9, 36) = 36

    The pairs may be taken in any order — 9 and 36 first, then 4 — and the answer is the same 36. That is exactly why the two routes on this page agree.

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--9--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--9--36">What is the LCM of 4, 9 and 36? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 4, 9 and 36?. The LCM of 4, 9 and 36 is 36 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/4--9--36/generated.jpgCopy

    LCM Table

    Number 1Number 2Number 3LCM
    4921252
    4922396
    4923828
    492472
    4925900
    4926468
    4927108
    4928252
    49291,044
    4930180
    49311,116
    4932288
    4933396
    4934612
    49351,260
    493636
    49371,332
    4938684
    4939468
    4940360
    49411,476
    4942252
    49431,548
    4944396
    4945180
    4946828
    49471,692
    4948144
    49491,764
    4950900

    About "Least Common Multiple of 3 Numbers" Calculator

    This calculator finds the Least Common Multiple (LCM) of three numbers at once, without doing it in two passes. For example, it can help you find out what's the Least Common Multiple (LCM) of 4, 9 and 36? (The answer is: 36). Enter the first number (e.g. '4'), the second (e.g. '9') and the third (e.g. '36'), then hit the 'Calculate' button.
    The Least Common Multiple of three numbers is the smallest positive integer that all three of them divide without a remainder
    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    FAQ

    What's the Least Common Multiple (LCM) of 4, 9 and 36?

    LCM of 4, 9 and 36 is 36

    How to find the LCM of 4, 9 and 36 by prime factorization?

    Take every prime that appears in 4, 9 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² = 36.

    Can you get the LCM of 4, 9 and 36 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 4 and 9 is 36, and the LCM of 36 and 36 is 36 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 36 divisible by 4, 9 and 36?

    Yes, and by definition it is the smallest positive integer that is: 36 ÷ 4, 36 ÷ 9 and 36 ÷ 36 all come out whole. Any other common multiple of 4, 9 and 36 is a multiple of 36.

    See Also