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    LCM for 300 and 180

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 300 and 180?

    Answer

    LCM of 300 and 180 is
    900

    (Nine hundred)

    Finding LCM for 300 and 180 using GCF of these numbers

    The first method to find LCM for numbers 300 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 300 and 180 is 60, so

    LCM = (300 × 180) ÷ 60

    LCM = 54000 ÷ 60

    LCM = 900

    Finding LCM for 300 and 180 by Listing Multiples

    The second method to find LCM for numbers 300 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 300: 300, 600, 900, 1200, 1500

    Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260

    So the LCM for 300 and 180 is 900

    Finding LCM for 300 and 180 by Prime Factorization

    Another method to find LCM for numbers 300 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    22 × 32 × 52 = 900

    Related Calculations

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    What is the LCM of 300 and 180?. The LCM of 300 and 180 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3001653300
    30016624900
    30016750100
    3001684200
    30016950700
    3001705100
    30017117100
    30017212900
    30017351900
    3001748700
    3001752100
    30017613200
    30017717700
    30017826700
    30017953700
    300180900
    30018154300
    30018227300
    30018318300
    30018413800
    30018511100
    3001869300
    30018756100
    30018814100
    30018918900
    3001905700
    30019157300
    3001924800
    30019357900
    30019429100

    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 300 and 180? (The answer is: 900). Select the first number (e.g. '300') and the second number (e.g. '180'). 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 300 and 180?

    LCM of 300 and 180 is 900

    How to find the LCM of 300 and 180 using prime factorization?

    To find the LCM of 300 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

    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 300 and 180: LCM = 900, GCF = 60.

    See Also