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 675 and 825

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 675 and 825?

    Answer

    LCM of 675 and 825 is
    7,425

    (Seven thousand four hundred twenty-five)

    Finding LCM for 675 and 825 using GCF of these numbers

    The first method to find LCM for numbers 675 and 825 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 675 and 825 is 75, so

    LCM = (675 × 825) ÷ 75

    LCM = 556,875 ÷ 75

    LCM = 7,425

    Finding LCM for 675 and 825 by Listing Multiples

    The second method to find LCM for numbers 675 and 825 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 675: 675, 1,350, 2,025, 2,700, 3,375, 4,050, 4,725, 5,400, 6,075, 6,750, 7,425, 8,100, 8,775

    Multiples of 825: 825, 1,650, 2,475, 3,300, 4,125, 4,950, 5,775, 6,600, 7,425, 8,250, 9,075

    So the LCM for 675 and 825 is 7,425

    Finding LCM for 675 and 825 by Prime Factorization

    Another method to find LCM for numbers 675 and 825 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 675: 3, 3, 3, 5, 5 (exponent form: 33, 52)

    All Prime Factors of 825: 3, 5, 5, 11 (exponent form: 31, 52, 111)

    33 × 52 × 111 = 7,425

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of/675--825Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of/675--825">What is the LCM of 675 and 825? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 675 and 825?. The LCM of 675 and 825 is 7,425 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/675--825/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    6758104,050
    675811547,425
    675812548,100
    675813182,925
    675814549,450
    675815110,025
    675816183,600
    675817551,475
    675818552,150
    67581961,425
    675820110,700
    675821554,175
    675822184,950
    675823555,525
    675824556,200
    6758257,425
    675826557,550
    675827558,225
    67582862,100
    675829559,575
    675830112,050
    675831186,975
    675832561,600
    675833562,275
    675834187,650
    675835112,725
    675836564,300
    67583720,925
    675838565,650
    675839566,325

    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 675 and 825? (The answer is: 7,425). Select the first number (e.g. '675') and the second number (e.g. '825'). 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 675 and 825?

    LCM of 675 and 825 is 7,425

    How to find the LCM of 675 and 825 using prime factorization?

    To find the LCM of 675 and 825, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,425.

    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 675 and 825: LCM = 7,425, GCF = 75.

    See Also