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    LCM for 42 and 105

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 42 and 105?

    Answer

    LCM of 42 and 105 is
    210

    (Two hundred ten)

    Finding LCM for 42 and 105 using GCF of these numbers

    The first method to find LCM for numbers 42 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 42 and 105 is 21, so

    LCM = (42 × 105) ÷ 21

    LCM = 4410 ÷ 21

    LCM = 210

    Finding LCM for 42 and 105 by Listing Multiples

    The second method to find LCM for numbers 42 and 105 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

    Multiples of 105: 105, 210, 315, 420

    So the LCM for 42 and 105 is 210

    Finding LCM for 42 and 105 by Prime Factorization

    Another method to find LCM for numbers 42 and 105 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 105: 3, 5, 7 (exponent form: 31, 51, 71)

    21 × 31 × 71 × 51 = 210

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    What is the LCM of 42 and 105?. The LCM of 42 and 105 is 210 — 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 105? (The answer is: 210). Select the first number (e.g. '42') and the second number (e.g. '105'). 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 105?

    LCM of 42 and 105 is 210

    How to find the LCM of 42 and 105 using prime factorization?

    To find the LCM of 42 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 210.

    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 105: LCM = 210, GCF = 21.

    See Also