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    LCM for 9 and 51

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 9 and 51?

    Answer

    LCM of 9 and 51 is
    153

    (One hundred fifty-three)

    Finding LCM for 9 and 51 using GCF of these numbers

    The first method to find LCM for numbers 9 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 9 and 51 is 3, so

    LCM = (9 × 51) ÷ 3

    LCM = 459 ÷ 3

    LCM = 153

    Finding LCM for 9 and 51 by Listing Multiples

    The second method to find LCM for numbers 9 and 51 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171

    Multiples of 51: 51, 102, 153, 204, 255

    So the LCM for 9 and 51 is 153

    Finding LCM for 9 and 51 by Prime Factorization

    Another method to find LCM for numbers 9 and 51 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 9: 3, 3 (exponent form: 32)

    All Prime Factors of 51: 3, 17 (exponent form: 31, 171)

    32 × 171 = 153

    Related Calculations

    See Also

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    What is the LCM of 9 and 51?. The LCM of 9 and 51 is 153 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    92163
    922198
    92472
    925225
    92727
    928252
    929261
    93090
    932288
    93399
    935315
    93636
    938342
    939117
    940360
    941369
    943387
    944396
    94545
    946414
    948144
    950450
    951153
    952468
    957171
    959531
    96363
    9100900
    91211,089
    9132396

    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 9 and 51? (The answer is: 153). Select the first number (e.g. '9') and the second number (e.g. '51'). 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
    Recalculate with different values ↑

    FAQ

    What's the Least Common Multiple (LCM) of 9 and 51?

    LCM of 9 and 51 is 153

    How to find the LCM of 9 and 51 using prime factorization?

    To find the LCM of 9 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 153.

    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 9 and 51: LCM = 153, GCF = 3.

    See Also