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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

    First common multiples: 1,512; 3,024; 4,536; …

    1,512 is divisible by both: 1,512 ÷ 168 = 9; 1,512 ÷ 189 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 9 and of y/189 by 8.

    168 = 23 × 3 × 7

    189 = 33 × 7

    Prime168189Highest power
    223—23
    333333
    7777

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 23 × 33 × 7 = 1,512

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    What is the LCM of 168 and 189? The LCM of 168 and 189 is 1,512 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1681744,872
    1681754,200
    1681763,696
    1681779,912
    16817814,952
    16817930,072
    1681802,520
    16818130,408
    1681822,184
    16818310,248
    1681843,864
    16818531,080
    1681865,208
    16818731,416
    1681887,896
    1681891,512
    16819015,960
    16819132,088
    1681921,344
    16819332,424
    16819416,296
    16819510,920
    1681961,176
    16819733,096
    1681985,544
    16819933,432
    1682004,200
    16820111,256
    16820216,968
    1682034,872

    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.