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    LCM for 120 and 324

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 324?

    Answer

    LCM of 120 and 324 is
    3,240

    First common multiples: 3,240; 6,480; 9,720; …

    3,240 is divisible by both: 3,240 ÷ 120 = 27; 3,240 ÷ 324 = 10 — and 27 and 10 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/120 by 27 and of y/324 by 10.

    120 = 23 × 3 × 5

    324 = 22 × 34

    Prime120324Highest power
    2232223
    333434
    55—5

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 23 × 34 × 5 = 3,240

    More with these numbers

    See Also

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    What is the LCM of 120 and 324? The LCM of 120 and 324 is 3,240 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    12030912,360
    1203103,720
    12031137,320
    1203121,560
    12031337,560
    12031418,840
    1203152,520
    1203169,480
    12031738,040
    1203186,360
    12031938,280
    120320960
    12032112,840
    12032219,320
    12032338,760
    1203243,240
    1203257,800
    12032619,560
    12032713,080
    1203284,920
    12032939,480
    1203301,320
    12033139,720
    1203329,960
    12033313,320
    12033420,040
    1203358,040
    1203361,680
    12033740,440
    12033820,280

    FAQ

    What's the Least Common Multiple (LCM) of 120 and 324?

    LCM of 120 and 324 is 3,240

    How to find the LCM of 120 and 324 using prime factorization?

    To find the LCM of 120 and 324, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,240.

    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 120 and 324: LCM = 3,240, GCF = 12.

    See Also