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    LCM for 105 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 105 and 120?

    Answer

    LCM of 105 and 120 is
    840

    (Eight hundred forty)

    Finding LCM for 105 and 120 using GCF of these numbers

    The first method to find LCM for numbers 105 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 105 and 120 is 15, so

    LCM = (105 × 120) ÷ 15

    LCM = 12,600 ÷ 15

    LCM = 840

    Finding LCM for 105 and 120 by Listing Multiples

    The second method to find LCM for numbers 105 and 120 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

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080

    So the LCM for 105 and 120 is 840

    Finding LCM for 105 and 120 by Prime Factorization

    Another method to find LCM for numbers 105 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    31 × 51 × 71 × 23 = 840

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    What is the LCM of 105 and 120?. The LCM of 105 and 120 is 840 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    105120840
    105126630
    1051302,730
    105147735
    1051501,050
    1051542,310
    1051651,155
    1051703,570
    105175525
    105189945
    1051951,365
    1052251,575
    105245735
    1054622,310
    1057702,310

    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 120? (The answer is: 840). Select the first number (e.g. '105') and the second number (e.g. '120'). 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 120?

    LCM of 105 and 120 is 840

    How to find the LCM of 105 and 120 using prime factorization?

    To find the LCM of 105 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

    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 120: LCM = 840, GCF = 15.

    See Also