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    LCM for 100 and 465

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 100 and 465?

    Answer

    LCM of 100 and 465 is
    9,300

    First common multiples: 9,300; 18,600; 27,900; …

    9,300 is divisible by both: 9,300 ÷ 100 = 93; 9,300 ÷ 465 = 20 — and 93 and 20 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 93 and of y/465 by 20.

    100 = 22 × 52

    465 = 3 × 5 × 31

    Prime100465Highest power
    222—22
    3—33
    552552
    31—3131

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

    LCM = 22 × 3 × 52 × 31 = 9,300

    More with these numbers

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    What is the LCM of 100 and 465? The LCM of 100 and 465 is 9,300 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    100200200
    1002154,300
    1002201,100
    100225900
    1002401,200
    100250500
    1002555,100
    1002601,300
    1002702,700
    1002751,100
    1002855,700
    1002902,900
    1003201,600
    1003251,300
    1003303,300
    1003401,700
    1003601,800
    1003657,300
    1003751,500
    1003857,700
    100400400
    1004058,100
    1004158,300
    1004458,900
    100450900
    1004659,300
    1004704,700
    1004904,900
    100500500
    1001,0001,000

    FAQ

    What's the Least Common Multiple (LCM) of 100 and 465?

    LCM of 100 and 465 is 9,300

    How to find the LCM of 100 and 465 using prime factorization?

    To find the LCM of 100 and 465, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 9,300.

    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 100 and 465: LCM = 9,300, GCF = 5.

    See Also