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    LCM for 225 and 180

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 225 and 180?

    Answer

    LCM of 225 and 180 is
    900

    First common multiples: 900; 1,800; 2,700; …

    900 is divisible by both: 900 ÷ 225 = 4, 900 ÷ 180 = 5 — and 4 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/225 by 4 and of y/180 by 5.

    225 = 32 × 52

    180 = 22 × 32 × 5

    Prime225180Highest power
    2—2222
    3323232
    552552

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

    LCM = 22 × 32 × 52 = 900

    More with these numbers

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    What is the LCM of 225 and 180? The LCM of 225 and 180 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2251652,475
    22516637,350
    22516737,575
    22516812,600
    22516938,025
    2251707,650
    2251714,275
    22517238,700
    22517338,925
    22517413,050
    2251751,575
    22517639,600
    22517713,275
    22517840,050
    22517940,275
    225180900
    22518140,725
    22518240,950
    22518313,725
    22518441,400
    2251858,325
    22518613,950
    22518742,075
    22518842,300
    2251894,725
    2251908,550
    22519142,975
    22519214,400
    22519343,425
    22519443,650

    FAQ

    What's the Least Common Multiple (LCM) of 225 and 180?

    LCM of 225 and 180 is 900

    How to find the LCM of 225 and 180 using prime factorization?

    To find the LCM of 225 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

    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 225 and 180: LCM = 900, GCF = 45.

    See Also