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    LCM for 49 and 60

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 49 and 60?

    Answer

    LCM of 49 and 60 is
    2,940

    (Two thousand nine hundred forty)

    Finding LCM for 49 and 60 using GCF of these numbers

    The first method to find LCM for numbers 49 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 49 and 60 is 1, so

    LCM = (49 × 60) ÷ 1

    LCM = 2940 ÷ 1

    LCM = 2940

    Finding LCM for 49 and 60 by Listing Multiples

    The second method to find LCM for numbers 49 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793, 2842, 2891, 2940, 2989, 3038

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060

    So the LCM for 49 and 60 is 2940

    Finding LCM for 49 and 60 by Prime Factorization

    Another method to find LCM for numbers 49 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 49: 7, 7 (exponent form: 72)

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    72 × 22 × 31 × 51 = 2940

    Related Calculations

    See Also

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    What is the LCM of 49 and 60?. The LCM of 49 and 60 is 2940 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    49452205
    49462254
    49472303
    49482352
    494949
    49502450
    49512499
    49522548
    49532597
    49542646
    49552695
    4956392
    49572793
    49582842
    49592891
    49602940
    49612989
    49623038
    4963441
    49643136
    49653185
    49663234
    49673283
    49683332
    49693381
    4970490
    49713479
    49723528
    49733577
    49743626

    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 49 and 60? (The answer is: 2940). Select the first number (e.g. '49') and the second number (e.g. '60'). 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 49 and 60?

    LCM of 49 and 60 is 2,940

    How to find the LCM of 49 and 60 using prime factorization?

    To find the LCM of 49 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,940.

    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 49 and 60: LCM = 2,940, GCF = 1.

    See Also