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    LCM for 126 and 168

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 126 and 168?

    Answer

    LCM of 126 and 168 is
    504

    (Five hundred four)

    Finding LCM for 126 and 168 using GCF of these numbers

    The first method to find LCM for numbers 126 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 126 and 168 is 42, so

    LCM = (126 × 168) ÷ 42

    LCM = 21,168 ÷ 42

    LCM = 504

    Finding LCM for 126 and 168 by Listing Multiples

    The second method to find LCM for numbers 126 and 168 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 126: 126, 252, 378, 504, 630, 756

    Multiples of 168: 168, 336, 504, 672, 840

    So the LCM for 126 and 168 is 504

    Finding LCM for 126 and 168 by Prime Factorization

    Another method to find LCM for numbers 126 and 168 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

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

    23 × 32 × 71 = 504

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    What is the LCM of 126 and 168?. The LCM of 126 and 168 is 504 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1261532,142
    1261541,386
    12615519,530
    1261563,276
    12615719,782
    1261589,954
    1261596,678
    12616010,080
    1261612,898
    1261621,134
    12616320,538
    12616410,332
    1261656,930
    12616610,458
    12616721,042
    126168504
    12616921,294
    12617010,710
    1261712,394
    12617210,836
    12617321,798
    1261743,654
    1261753,150
    12617611,088
    1261777,434
    12617811,214
    12617922,554
    1261801,260
    12618122,806
    1261821,638

    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 126 and 168? (The answer is: 504). Select the first number (e.g. '126') and the second number (e.g. '168'). 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 126 and 168?

    LCM of 126 and 168 is 504

    How to find the LCM of 126 and 168 using prime factorization?

    To find the LCM of 126 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

    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 126 and 168: LCM = 504, GCF = 42.

    See Also