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    LCM for 120 and 210

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 210?

    Answer

    LCM of 120 and 210 is
    840

    (Eight hundred forty)

    Finding LCM for 120 and 210 using GCF of these numbers

    The first method to find LCM for numbers 120 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 120 and 210 is 30, so

    LCM = (120 × 210) ÷ 30

    LCM = 25,200 ÷ 30

    LCM = 840

    Finding LCM for 120 and 210 by Listing Multiples

    The second method to find LCM for numbers 120 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

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

    Multiples of 210: 210, 420, 630, 840, 1,050, 1,260

    So the LCM for 120 and 210 is 840

    Finding LCM for 120 and 210 by Prime Factorization

    Another method to find LCM for numbers 120 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

    23 × 31 × 51 × 71 = 840

    Related Calculations

    See Also

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    What is the LCM of 120 and 210?. The LCM of 120 and 210 is 840 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201951,560
    1201965,880
    12019723,640
    1201983,960
    12019923,880
    120200600
    1202018,040
    12020212,120
    12020324,360
    1202042,040
    1202054,920
    12020612,360
    1202078,280
    1202083,120
    12020925,080
    120210840
    12021125,320
    1202126,360
    1202138,520
    12021412,840
    1202155,160
    1202161,080
    12021726,040
    12021813,080
    1202198,760
    1202201,320
    12022126,520
    1202224,440
    12022326,760
    1202243,360

    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 120 and 210? (The answer is: 840). Select the first number (e.g. '120') and the second number (e.g. '210'). 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 120 and 210?

    LCM of 120 and 210 is 840

    How to find the LCM of 120 and 210 using prime factorization?

    To find the LCM of 120 and 210, 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 120 and 210: LCM = 840, GCF = 30.

    See Also