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    LCM for 144 and 1,000

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 144 and 1,000?

    Answer

    LCM of 144 and 1,000 is
    18,000

    First common multiples: 18,000; 36,000; 54,000; …

    18,000 is divisible by both: 18,000 ÷ 144 = 125; 18,000 ÷ 1,000 = 18 — and 125 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/144 by 125 and of y/1,000 by 18.

    144 = 24 × 32

    1,000 = 23 × 53

    Prime1441,000Highest power
    2242324
    332—32
    5—5353

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

    LCM = 24 × 32 × 53 = 18,000

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of/144--1000Copy
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    What is the LCM of 144 and 1,000? The LCM of 144 and 1,000 is 18,000 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/144--1000/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    144985141,840
    14498670,992
    14498747,376
    14498835,568
    144989142,416
    1449907,920
    144991142,704
    1449928,928
    14499347,664
    14499471,568
    144995143,280
    14499611,952
    144997143,568
    14499871,856
    14499915,984
    1441,00018,000
    1441,001144,144
    1441,00224,048
    1441,003144,432
    1441,00436,144
    1441,00548,240
    1441,00672,432
    1441,007145,008
    1441,0081,008
    1441,009145,296
    1441,01072,720
    1441,01148,528
    1441,01236,432
    1441,013145,872
    1441,01424,336

    FAQ

    What's the Least Common Multiple (LCM) of 144 and 1,000?

    LCM of 144 and 1,000 is 18,000

    How to find the LCM of 144 and 1,000 using prime factorization?

    To find the LCM of 144 and 1,000, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 18,000.

    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 144 and 1,000: LCM = 18,000, GCF = 8.

    See Also