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    LCM for 39 and 42

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 39 and 42?

    Answer

    LCM of 39 and 42 is
    546

    (Five hundred forty-six)

    Finding LCM for 39 and 42 using GCF of these numbers

    The first method to find LCM for numbers 39 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 39 and 42 is 3, so

    LCM = (39 × 42) ÷ 3

    LCM = 1638 ÷ 3

    LCM = 546

    Finding LCM for 39 and 42 by Listing Multiples

    The second method to find LCM for numbers 39 and 42 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624

    Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630

    So the LCM for 39 and 42 is 546

    Finding LCM for 39 and 42 by Prime Factorization

    Another method to find LCM for numbers 39 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 39: 3, 13 (exponent form: 31, 131)

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

    31 × 131 × 21 × 71 = 546

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    What is the LCM of 39 and 42?. The LCM of 39 and 42 is 546 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3927351
    39281092
    39291131
    3930390
    39311209
    39321248
    3933429
    39341326
    39351365
    3936468
    39371443
    39381482
    393939
    39401560
    39411599
    3942546
    39431677
    39441716
    3945585
    39461794
    39471833
    3948624
    39491911
    39501950
    3951663
    3952156
    39532067
    3954702
    39552145
    39562184

    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 39 and 42? (The answer is: 546). Select the first number (e.g. '39') and the second number (e.g. '42'). 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 39 and 42?

    LCM of 39 and 42 is 546

    How to find the LCM of 39 and 42 using prime factorization?

    To find the LCM of 39 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 546.

    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 39 and 42: LCM = 546, GCF = 3.

    See Also