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    LCM for 150 and 180

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 150 and 180?

    Answer

    LCM of 150 and 180 is
    900

    (Nine hundred)

    Finding LCM for 150 and 180 using GCF of these numbers

    The first method to find LCM for numbers 150 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 150 and 180 is 30, so

    LCM = (150 × 180) ÷ 30

    LCM = 27,000 ÷ 30

    LCM = 900

    Finding LCM for 150 and 180 by Listing Multiples

    The second method to find LCM for numbers 150 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

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

    Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260

    So the LCM for 150 and 180 is 900

    Finding LCM for 150 and 180 by Prime Factorization

    Another method to find LCM for numbers 150 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

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

    22 × 32 × 52 = 900

    Related Calculations

    See Also

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    What is the LCM of 150 and 180?. The LCM of 150 and 180 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1501651,650
    15016612,450
    15016725,050
    1501684,200
    15016925,350
    1501702,550
    1501718,550
    15017212,900
    15017325,950
    1501744,350
    1501751,050
    15017613,200
    1501778,850
    15017813,350
    15017926,850
    150180900
    15018127,150
    15018213,650
    1501839,150
    15018413,800
    1501855,550
    1501864,650
    15018728,050
    15018814,100
    1501899,450
    1501902,850
    15019128,650
    1501924,800
    15019328,950
    15019414,550

    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 150 and 180? (The answer is: 900). Select the first number (e.g. '150') 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 150 and 180?

    LCM of 150 and 180 is 900

    How to find the LCM of 150 and 180 using prime factorization?

    To find the LCM of 150 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 150 and 180: LCM = 900, GCF = 30.

    See Also