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    LCM for 20 and 30

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 20 and 30?

    Answer

    LCM of 20 and 30 is
    60

    (Sixty)

    Finding LCM for 20 and 30 using GCF of these numbers

    The first method to find LCM for numbers 20 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 20 and 30 is 10, so

    LCM = (20 × 30) ÷ 10

    LCM = 600 ÷ 10

    LCM = 60

    Finding LCM for 20 and 30 by Listing Multiples

    The second method to find LCM for numbers 20 and 30 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 20: 20, 40, 60, 80, 100

    Multiples of 30: 30, 60, 90, 120

    So the LCM for 20 and 30 is 60

    Finding LCM for 20 and 30 by Prime Factorization

    Another method to find LCM for numbers 20 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

    All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

    22 × 51 × 31 = 60

    Related Calculations

    See Also

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    What is the LCM of 20 and 30?. The LCM of 20 and 30 is 60 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    201260
    201560
    2021420
    2023460
    2024120
    2025100
    2026260
    2027540
    2028140
    2029580
    203060
    2032160
    2033660
    2034340
    2035140
    2036180
    2039780
    204040
    2044220
    2045180
    2048240
    2050100
    20511020
    20531060
    2054540
    2055220
    2058580
    206060
    20100100
    20125500

    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 20 and 30? (The answer is: 60). Select the first number (e.g. '20') and the second number (e.g. '30'). 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 20 and 30?

    LCM of 20 and 30 is 60

    How to find the LCM of 20 and 30 using prime factorization?

    To find the LCM of 20 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

    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 20 and 30: LCM = 60, GCF = 10.

    See Also