Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 75 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 75 and 120?

    Answer

    LCM of 75 and 120 is
    600

    (Six hundred)

    Finding LCM for 75 and 120 using GCF of these numbers

    The first method to find LCM for numbers 75 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 75 and 120 is 15, so

    LCM = (75 × 120) ÷ 15

    LCM = 9,000 ÷ 15

    LCM = 600

    Finding LCM for 75 and 120 by Listing Multiples

    The second method to find LCM for numbers 75 and 120 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

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840

    So the LCM for 75 and 120 is 600

    Finding LCM for 75 and 120 by Prime Factorization

    Another method to find LCM for numbers 75 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    31 × 52 × 23 = 600

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of/75--120Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of/75--120">What is the LCM of 75 and 120? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 75 and 120?. The LCM of 75 and 120 is 600 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/75--120/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    75105525
    751067,950
    751078,025
    751082,700
    751098,175
    751101,650
    751112,775
    751128,400
    751138,475
    751142,850
    751151,725
    751168,700
    751172,925
    751188,850
    751198,925
    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

    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 120? (The answer is: 600). Select the first number (e.g. '75') and the second number (e.g. '120'). 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 120?

    LCM of 75 and 120 is 600

    How to find the LCM of 75 and 120 using prime factorization?

    To find the LCM of 75 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 600.

    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 120: LCM = 600, GCF = 15.

    See Also