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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

    (Eighteen thousand)

    Finding LCM for 144 and 1,000 using GCF of these numbers

    The first method to find LCM for numbers 144 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 144 and 1,000 is 8, so

    LCM = (144 × 1,000) ÷ 8

    LCM = 144,000 ÷ 8

    LCM = 18,000

    Finding LCM for 144 and 1,000 by Listing Multiples

    The second method to find LCM for numbers 144 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296, 1,440, 1,584, 1,728, 1,872, 2,016, 2,160, 2,304, 2,448, 2,592, 2,736, 2,880, 3,024, 3,168, 3,312, 3,456, 3,600, 3,744, 3,888, 4,032, 4,176, 4,320, 4,464, 4,608, 4,752, 4,896, 5,040, 5,184, 5,328, 5,472, 5,616, 5,760, 5,904, 6,048, 6,192, 6,336, 6,480, 6,624, 6,768, 6,912, 7,056, 7,200, 7,344, 7,488, 7,632, 7,776, 7,920, 8,064, 8,208, 8,352, 8,496, 8,640, 8,784, 8,928, 9,072, 9,216, 9,360, 9,504, 9,648, 9,792, 9,936, 10,080, 10,224, 10,368, 10,512, 10,656, 10,800, 10,944, 11,088, 11,232, 11,376, 11,520, 11,664, 11,808, 11,952, 12,096, 12,240, 12,384, 12,528, 12,672, 12,816, 12,960, 13,104, 13,248, 13,392, 13,536, 13,680, 13,824, 13,968, 14,112, 14,256, 14,400, 14,544, 14,688, 14,832, 14,976, 15,120, 15,264, 15,408, 15,552, 15,696, 15,840, 15,984, 16,128, 16,272, 16,416, 16,560, 16,704, 16,848, 16,992, 17,136, 17,280, 17,424, 17,568, 17,712, 17,856, 18,000, 18,144, 18,288

    Multiples of 1,000: 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000, 10,000, 11,000, 12,000, 13,000, 14,000, 15,000, 16,000, 17,000, 18,000, 19,000, 20,000

    So the LCM for 144 and 1,000 is 18,000

    Finding LCM for 144 and 1,000 by Prime Factorization

    Another method to find LCM for numbers 144 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

    All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

    24 × 32 × 53 = 18,000

    Related Calculations

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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.
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    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

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 144 and 1,000? (The answer is: 18,000). Select the first number (e.g. '144') and the second number (e.g. '1,000'). After that hit the 'Calculate' button.
    Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    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