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    LCM for 75 and 135

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 75 and 135?

    Answer

    LCM of 75 and 135 is
    675

    (Six hundred seventy-five)

    Finding LCM for 75 and 135 using GCF of these numbers

    The first method to find LCM for numbers 75 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 75 and 135 is 15, so

    LCM = (75 × 135) ÷ 15

    LCM = 10,125 ÷ 15

    LCM = 675

    Finding LCM for 75 and 135 by Listing Multiples

    The second method to find LCM for numbers 75 and 135 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825

    Multiples of 135: 135, 270, 405, 540, 675, 810, 945

    So the LCM for 75 and 135 is 675

    Finding LCM for 75 and 135 by Prime Factorization

    Another method to find LCM for numbers 75 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

    33 × 52 = 675

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    What is the LCM of 75 and 135?. The LCM of 75 and 135 is 675 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    75120600
    751219,075
    751229,150
    751233,075
    751249,300
    75125375
    751263,150
    751279,525
    751289,600
    751293,225
    751301,950
    751319,825
    751323,300
    751339,975
    7513410,050
    75135675
    7513610,200
    7513710,275
    751383,450
    7513910,425
    751402,100
    751413,525
    7514210,650
    7514310,725
    751443,600
    751452,175
    7514610,950
    751473,675
    7514811,100
    7514911,175

    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 75 and 135? (The answer is: 675). Select the first number (e.g. '75') and the second number (e.g. '135'). 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 75 and 135?

    LCM of 75 and 135 is 675

    How to find the LCM of 75 and 135 using prime factorization?

    To find the LCM of 75 and 135, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 675.

    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 75 and 135: LCM = 675, GCF = 15.

    See Also