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    LCM for 45 and 84

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 45 and 84?

    Answer

    LCM of 45 and 84 is
    1,260

    (One thousand two hundred sixty)

    Finding LCM for 45 and 84 using GCF of these numbers

    The first method to find LCM for numbers 45 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 45 and 84 is 3, so

    LCM = (45 × 84) ÷ 3

    LCM = 3,780 ÷ 3

    LCM = 1,260

    Finding LCM for 45 and 84 by Listing Multiples

    The second method to find LCM for numbers 45 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1,035, 1,080, 1,125, 1,170, 1,215, 1,260, 1,305, 1,350

    Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260, 1,344, 1,428

    So the LCM for 45 and 84 is 1,260

    Finding LCM for 45 and 84 by Prime Factorization

    Another method to find LCM for numbers 45 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

    All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

    32 × 51 × 22 × 71 = 1,260

    Related Calculations

    See Also

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    What is the LCM of 45 and 84?. The LCM of 45 and 84 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    453090
    45462,070
    45492,205
    4550450
    45522,340
    45532,385
    4554270
    4555495
    4557855
    4560180
    4563315
    4565585
    4570630
    4572360
    4575225
    45763,420
    4581405
    45841,260
    459090
    4595855
    4599495
    45100900
    45120360
    451251,125
    45135135
    45150450

    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 45 and 84? (The answer is: 1,260). Select the first number (e.g. '45') and the second number (e.g. '84'). 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 45 and 84?

    LCM of 45 and 84 is 1,260

    How to find the LCM of 45 and 84 using prime factorization?

    To find the LCM of 45 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 45 and 84: LCM = 1,260, GCF = 3.

    See Also