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    LCM for 30 and 40

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 30 and 40?

    Answer

    LCM of 30 and 40 is
    120

    (One hundred twenty)

    Finding LCM for 30 and 40 using GCF of these numbers

    The first method to find LCM for numbers 30 and 40 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 30 and 40 is 10, so

    LCM = (30 × 40) ÷ 10

    LCM = 1200 ÷ 10

    LCM = 120

    Finding LCM for 30 and 40 by Listing Multiples

    The second method to find LCM for numbers 30 and 40 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 30: 30, 60, 90, 120, 150, 180

    Multiples of 40: 40, 80, 120, 160, 200

    So the LCM for 30 and 40 is 120

    Finding LCM for 30 and 40 by Prime Factorization

    Another method to find LCM for numbers 30 and 40 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

    23 × 31 × 51 = 120

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    What is the LCM of 30 and 40?. The LCM of 30 and 40 is 120 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3031930
    3033330
    3034510
    3035210
    3036180
    30371110
    3038570
    3040120
    3042210
    30431290
    304590
    3046690
    3050150
    3055330
    3056840
    3057570
    3058870
    306060
    3096480
    30100300
    30105210
    30110330
    30120120
    30145870
    30155930
    30165330
    30170510
    30180180
    301851110
    30195390

    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 30 and 40? (The answer is: 120). Select the first number (e.g. '30') and the second number (e.g. '40'). 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 30 and 40?

    LCM of 30 and 40 is 120

    How to find the LCM of 30 and 40 using prime factorization?

    To find the LCM of 30 and 40, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

    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 30 and 40: LCM = 120, GCF = 10.

    See Also