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    LCM for 10 and 45

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 10 and 45?

    Answer

    LCM of 10 and 45 is
    90

    (Ninety)

    Finding LCM for 10 and 45 using GCF of these numbers

    The first method to find LCM for numbers 10 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 10 and 45 is 5, so

    LCM = (10 × 45) ÷ 5

    LCM = 450 ÷ 5

    LCM = 90

    Finding LCM for 10 and 45 by Listing Multiples

    The second method to find LCM for numbers 10 and 45 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

    Multiples of 45: 45, 90, 135, 180

    So the LCM for 10 and 45 is 90

    Finding LCM for 10 and 45 by Prime Factorization

    Another method to find LCM for numbers 10 and 45 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

    All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

    21 × 51 × 32 = 90

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    What is the LCM of 10 and 45?. The LCM of 10 and 45 is 90 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1022110
    1023230
    1024120
    102550
    1027270
    103030
    1031310
    1034170
    103570
    1036180
    1038190
    104040
    1041410
    1043430
    1044220
    104590
    1046230
    1048240
    105050
    1053530
    1055110
    1057570
    1058290
    1059590
    106060
    10100100
    10105210
    10110110
    10120120
    10135270

    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 10 and 45? (The answer is: 90). Select the first number (e.g. '10') and the second number (e.g. '45'). 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 10 and 45?

    LCM of 10 and 45 is 90

    How to find the LCM of 10 and 45 using prime factorization?

    To find the LCM of 10 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

    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 10 and 45: LCM = 90, GCF = 5.

    See Also