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    LCM for 3 and 45

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 3 and 45?

    Answer

    LCM of 3 and 45 is
    45

    (Forty-five)

    Finding LCM for 3 and 45 using GCF of these numbers

    The first method to find LCM for numbers 3 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 3 and 45 is 3, so

    LCM = (3 × 45) ÷ 3

    LCM = 135 ÷ 3

    LCM = 45

    Finding LCM for 3 and 45 by Listing Multiples

    The second method to find LCM for numbers 3 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51

    Multiples of 45: 45, 90, 135

    So the LCM for 3 and 45 is 45

    Finding LCM for 3 and 45 by Prime Factorization

    Another method to find LCM for numbers 3 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 3: 3 (exponent form: 31)

    All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

    32 × 51 = 45

    Related Calculations

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    What is the LCM of 3 and 45?. The LCM of 3 and 45 is 45 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    399
    31030
    31133
    31212
    31339
    31442
    31515
    31648
    31751
    31818
    31957
    32060
    32121
    32266
    32369
    32575
    32884
    335105
    33636
    337111
    33939
    34242
    34545
    349147
    35151
    352156
    35757
    358174
    359177
    36060

    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 3 and 45? (The answer is: 45). Select the first number (e.g. '3') and the second number (e.g. '45'). 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 3 and 45?

    LCM of 3 and 45 is 45

    How to find the LCM of 3 and 45 using prime factorization?

    To find the LCM of 3 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 45.

    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 3 and 45: LCM = 45, GCF = 3.

    See Also