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    LCM for 62, 93 and 120

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

    What's the Least Common Multiple (LCM) of 62, 93 and 120?

    Answer

    LCM of 62, 93 and 120 is
    3,720

    (Three thousand seven hundred twenty)

    3,720 is the smallest positive integer that 62, 93 and 120 all divide without a remainder — every other common multiple of the three is a multiple of it.

    Finding the LCM of 62, 93 and 120 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 62: 2 × 31 (exponent form: 2 × 31)

    All Prime Factors of 93: 3 × 31 (exponent form: 3 × 31)

    All Prime Factors of 120: 2 × 2 × 2 × 3 × 5 (exponent form: 23 × 3 × 5)

    Prime factor6293120Highest power
    22—2323
    3—333
    5——55
    313131—31

    LCM = 23 × 3 × 5 × 31 = 3,720

    Checking the LCM of 62, 93 and 120 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(62, 93) = (62 × 93) ÷ 31 = 5,766 ÷ 31 = 186

    LCM(186, 120) = (186 × 120) ÷ 6 = 22,320 ÷ 6 = 3,720

    LCM(62, 93, 120) = 3,720

    The pairs may be taken in any order — 93 and 120 first, then 62 — and the answer is the same 3,720. That is exactly why the two routes on this page agree.

    Related Calculations

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    What is the LCM of 62, 93 and 120?. The LCM of 62, 93 and 120 is 3,720 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
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    LCM Table

    Number 1Number 2Number 3LCM
    62931056,510
    62931069,858
    629310719,902
    62931083,348
    629310920,274
    629311010,230
    62931116,882
    629311210,416
    629311321,018
    62931143,534
    629311521,390
    629311610,788
    62931177,254
    629311810,974
    629311922,134
    62931203,720
    629312122,506
    629312211,346
    62931237,626
    6293124372
    629312523,250
    62931263,906
    629312723,622
    629312811,904
    62931297,998
    629313012,090
    629313124,366
    62931324,092
    629313324,738
    629313412,462

    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 62, 93 and 120? (The answer is: 3,720). Enter the first number (e.g. '62'), the second (e.g. '93') and the third (e.g. '120'), 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 62, 93 and 120?

    LCM of 62, 93 and 120 is 3,720

    How to find the LCM of 62, 93 and 120 by prime factorization?

    Take every prime that appears in 62, 93 and 120 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 31 = 3,720.

    Can you get the LCM of 62, 93 and 120 two numbers at a time?

    Yes, and it is the check this page prints. The LCM of 62 and 93 is 186, and the LCM of 186 and 120 is 3,720 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 3,720 divisible by 62, 93 and 120?

    Yes, and by definition it is the smallest positive integer that is: 3,720 ÷ 62, 3,720 ÷ 93 and 3,720 ÷ 120 all come out whole. Any other common multiple of 62, 93 and 120 is a multiple of 3,720.

    See Also