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    LCM for 168 and 189

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 168 and 189?

    Answer

    LCM of 168 and 189 is
    1,512

    (One thousand five hundred twelve)

    Finding LCM for 168 and 189 using GCF of these numbers

    The first method to find LCM for numbers 168 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 168 and 189 is 21, so

    LCM = (168 × 189) ÷ 21

    LCM = 31752 ÷ 21

    LCM = 1512

    Finding LCM for 168 and 189 by Listing Multiples

    The second method to find LCM for numbers 168 and 189 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 168: 168, 336, 504, 672, 840, 1008, 1176, 1344, 1512, 1680, 1848

    Multiples of 189: 189, 378, 567, 756, 945, 1134, 1323, 1512, 1701, 1890

    So the LCM for 168 and 189 is 1512

    Finding LCM for 168 and 189 by Prime Factorization

    Another method to find LCM for numbers 168 and 189 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

    All Prime Factors of 189: 3, 3, 3, 7 (exponent form: 33, 71)

    23 × 33 × 71 = 1512

    See Also

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    What is the LCM of 168 and 189?. The LCM of 168 and 189 is 1512 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1681744872
    1681754200
    1681763696
    1681779912
    16817814952
    16817930072
    1681802520
    16818130408
    1681822184
    16818310248
    1681843864
    16818531080
    1681865208
    16818731416
    1681887896
    1681891512
    16819015960
    16819132088
    1681921344
    16819332424
    16819416296
    16819510920
    1681961176
    16819733096
    1681985544
    16819933432
    1682004200
    16820111256
    16820216968
    1682034872

    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 168 and 189? (The answer is: 1512). Select the first number (e.g. '168') and the second number (e.g. '189'). 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 168 and 189?

    LCM of 168 and 189 is 1,512

    How to find the LCM of 168 and 189 using prime factorization?

    To find the LCM of 168 and 189, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,512.

    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 168 and 189: LCM = 1,512, GCF = 21.

    See Also