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    LCM for 42 and 45

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 42 and 45?

    Answer

    LCM of 42 and 45 is
    630

    (Six hundred thirty)

    Finding LCM for 42 and 45 using GCF of these numbers

    The first method to find LCM for numbers 42 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 42 and 45 is 3, so

    LCM = (42 × 45) ÷ 3

    LCM = 1890 ÷ 3

    LCM = 630

    Finding LCM for 42 and 45 by Listing Multiples

    The second method to find LCM for numbers 42 and 45 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

    Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720

    So the LCM for 42 and 45 is 630

    Finding LCM for 42 and 45 by Prime Factorization

    Another method to find LCM for numbers 42 and 45 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 45: 3, 3, 5 (exponent form: 32, 51)

    21 × 32 × 71 × 51 = 630

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    What is the LCM of 42 and 45?. The LCM of 42 and 45 is 630 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    4230210
    42311302
    4232672
    4233462
    4234714
    4235210
    4236252
    42371554
    4238798
    4239546
    4240840
    42411722
    424242
    42431806
    4244924
    4245630
    4246966
    42471974
    4248336
    4249294
    42501050
    4251714
    42521092
    42532226
    4254378
    42552310
    4256168
    4257798
    42581218
    42592478

    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 45? (The answer is: 630). Select the first number (e.g. '42') and the second number (e.g. '45'). 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 45?

    LCM of 42 and 45 is 630

    How to find the LCM of 42 and 45 using prime factorization?

    To find the LCM of 42 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 630.

    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 45: LCM = 630, GCF = 3.

    See Also