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    LCM for 72 and 75

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 72 and 75?

    Answer

    LCM of 72 and 75 is
    1,800

    (One thousand eight hundred)

    Finding LCM for 72 and 75 using GCF of these numbers

    The first method to find LCM for numbers 72 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 72 and 75 is 3, so

    LCM = (72 × 75) ÷ 3

    LCM = 5,400 ÷ 3

    LCM = 1,800

    Finding LCM for 72 and 75 by Listing Multiples

    The second method to find LCM for numbers 72 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1,008, 1,080, 1,152, 1,224, 1,296, 1,368, 1,440, 1,512, 1,584, 1,656, 1,728, 1,800, 1,872, 1,944

    Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1,050, 1,125, 1,200, 1,275, 1,350, 1,425, 1,500, 1,575, 1,650, 1,725, 1,800, 1,875, 1,950

    So the LCM for 72 and 75 is 1,800

    Finding LCM for 72 and 75 by Prime Factorization

    Another method to find LCM for numbers 72 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

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

    23 × 32 × 52 = 1,800

    Related Calculations

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    What is the LCM of 72 and 75?. The LCM of 72 and 75 is 1,800 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    7260360
    72614,392
    72622,232
    7263504
    7264576
    72654,680
    7266792
    72674,824
    72681,224
    72691,656
    72702,520
    72715,112
    727272
    72735,256
    72742,664
    72751,800
    72761,368
    72775,544
    7278936
    72795,688
    7280720
    7281648
    72822,952
    72835,976
    7284504
    72856,120
    72863,096
    72872,088
    7288792
    72896,408

    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 72 and 75? (The answer is: 1,800). Select the first number (e.g. '72') 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 72 and 75?

    LCM of 72 and 75 is 1,800

    How to find the LCM of 72 and 75 using prime factorization?

    To find the LCM of 72 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

    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 72 and 75: LCM = 1,800, GCF = 3.

    See Also