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    LCM for 120 and 324

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 324?

    Answer

    LCM of 120 and 324 is
    3,240

    (Three thousand two hundred forty)

    Finding LCM for 120 and 324 using GCF of these numbers

    The first method to find LCM for numbers 120 and 324 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 120 and 324 is 12, so

    LCM = (120 × 324) ÷ 12

    LCM = 38880 ÷ 12

    LCM = 3240

    Finding LCM for 120 and 324 by Listing Multiples

    The second method to find LCM for numbers 120 and 324 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800, 1920, 2040, 2160, 2280, 2400, 2520, 2640, 2760, 2880, 3000, 3120, 3240, 3360, 3480

    Multiples of 324: 324, 648, 972, 1296, 1620, 1944, 2268, 2592, 2916, 3240, 3564, 3888

    So the LCM for 120 and 324 is 3240

    Finding LCM for 120 and 324 by Prime Factorization

    Another method to find LCM for numbers 120 and 324 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    All Prime Factors of 324: 2, 2, 3, 3, 3, 3 (exponent form: 22, 34)

    23 × 34 × 51 = 3240

    See Also

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    What is the LCM of 120 and 324?. The LCM of 120 and 324 is 3240 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    12030912360
    1203103720
    12031137320
    1203121560
    12031337560
    12031418840
    1203152520
    1203169480
    12031738040
    1203186360
    12031938280
    120320960
    12032112840
    12032219320
    12032338760
    1203243240
    1203257800
    12032619560
    12032713080
    1203284920
    12032939480
    1203301320
    12033139720
    1203329960
    12033313320
    12033420040
    1203358040
    1203361680
    12033740440
    12033820280

    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 120 and 324? (The answer is: 3240). Select the first number (e.g. '120') and the second number (e.g. '324'). 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 120 and 324?

    LCM of 120 and 324 is 3,240

    How to find the LCM of 120 and 324 using prime factorization?

    To find the LCM of 120 and 324, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,240.

    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 120 and 324: LCM = 3,240, GCF = 12.

    See Also