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    LCM for 60 and 75

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 60 and 75?

    Answer

    LCM of 60 and 75 is
    300

    (Three hundred)

    Finding LCM for 60 and 75 using GCF of these numbers

    The first method to find LCM for numbers 60 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 60 and 75 is 15, so

    LCM = (60 × 75) ÷ 15

    LCM = 4,500 ÷ 15

    LCM = 300

    Finding LCM for 60 and 75 by Listing Multiples

    The second method to find LCM for numbers 60 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420

    Multiples of 75: 75, 150, 225, 300, 375, 450

    So the LCM for 60 and 75 is 300

    Finding LCM for 60 and 75 by Prime Factorization

    Another method to find LCM for numbers 60 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

    22 × 31 × 52 = 300

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    What is the LCM of 60 and 75?. The LCM of 60 and 75 is 300 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    606060
    6070420
    6072360
    6075300
    6080240
    60100300
    60108540
    60110660
    601251,500
    60132660
    60135540
    60140420
    60150300
    601551,860
    60160480
    601752,100
    601852,220
    601901,140
    60210420
    602152,580
    60220660
    602352,820
    60240240
    602452,940
    602501,500
    60260780
    602753,300
    60280840
    602901,740
    602953,540

    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 60 and 75? (The answer is: 300). Select the first number (e.g. '60') and the second number (e.g. '75'). 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 60 and 75?

    LCM of 60 and 75 is 300

    How to find the LCM of 60 and 75 using prime factorization?

    To find the LCM of 60 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

    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 60 and 75: LCM = 300, GCF = 15.

    See Also