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    LCM for 105 and 150

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 105 and 150?

    Answer

    LCM of 105 and 150 is
    1,050

    (One thousand fifty)

    Finding LCM for 105 and 150 using GCF of these numbers

    The first method to find LCM for numbers 105 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 105 and 150 is 15, so

    LCM = (105 × 150) ÷ 15

    LCM = 15,750 ÷ 15

    LCM = 1,050

    Finding LCM for 105 and 150 by Listing Multiples

    The second method to find LCM for numbers 105 and 150 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1,050, 1,155, 1,260

    Multiples of 150: 150, 300, 450, 600, 750, 900, 1,050, 1,200, 1,350

    So the LCM for 105 and 150 is 1,050

    Finding LCM for 105 and 150 by Prime Factorization

    Another method to find LCM for numbers 105 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

    All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

    31 × 52 × 71 × 21 = 1,050

    See Also

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    What is the LCM of 105 and 150?. The LCM of 105 and 150 is 1,050 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    105135945
    10513614,280
    10513714,385
    1051384,830
    10513914,595
    105140420
    1051414,935
    10514214,910
    10514315,015
    1051445,040
    1051453,045
    10514615,330
    105147735
    10514815,540
    10514915,645
    1051501,050
    10515115,855
    10515215,960
    1051535,355
    1051542,310
    1051553,255
    1051565,460
    10515716,485
    10515816,590
    1051595,565
    1051603,360
    1051612,415
    1051625,670
    10516317,115
    10516417,220

    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 105 and 150? (The answer is: 1,050). Select the first number (e.g. '105') and the second number (e.g. '150'). 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 105 and 150?

    LCM of 105 and 150 is 1,050

    How to find the LCM of 105 and 150 using prime factorization?

    To find the LCM of 105 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,050.

    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 105 and 150: LCM = 1,050, GCF = 15.

    See Also