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    LCM for 42 and 58

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 42 and 58?

    Answer

    LCM of 42 and 58 is
    1,218

    (One thousand two hundred eighteen)

    Finding LCM for 42 and 58 using GCF of these numbers

    The first method to find LCM for numbers 42 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 42 and 58 is 2, so

    LCM = (42 × 58) ÷ 2

    LCM = 2436 ÷ 2

    LCM = 1218

    Finding LCM for 42 and 58 by Listing Multiples

    The second method to find LCM for numbers 42 and 58 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302

    Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334

    So the LCM for 42 and 58 is 1218

    Finding LCM for 42 and 58 by Prime Factorization

    Another method to find LCM for numbers 42 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

    All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

    21 × 31 × 71 × 291 = 1218

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    What is the LCM of 42 and 58?. The LCM of 42 and 58 is 1218 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    422884
    4244924
    4245630
    4248336
    4249294
    42501050
    42521092
    42532226
    4256168
    42581218
    4260420
    4266462
    42105210
    42126126
    4213652730

    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 42 and 58? (The answer is: 1218). Select the first number (e.g. '42') and the second number (e.g. '58'). 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 42 and 58?

    LCM of 42 and 58 is 1,218

    How to find the LCM of 42 and 58 using prime factorization?

    To find the LCM of 42 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,218.

    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 42 and 58: LCM = 1,218, GCF = 2.

    See Also