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    LCM for 45 and 60

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 45 and 60?

    Answer

    LCM of 45 and 60 is
    180

    (One hundred eighty)

    Finding LCM for 45 and 60 using GCF of these numbers

    The first method to find LCM for numbers 45 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 45 and 60 is 15, so

    LCM = (45 × 60) ÷ 15

    LCM = 2700 ÷ 15

    LCM = 180

    Finding LCM for 45 and 60 by Listing Multiples

    The second method to find LCM for numbers 45 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 45: 45, 90, 135, 180, 225, 270

    Multiples of 60: 60, 120, 180, 240, 300

    So the LCM for 45 and 60 is 180

    Finding LCM for 45 and 60 by Prime Factorization

    Another method to find LCM for numbers 45 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

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

    32 × 51 × 22 = 180

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    What is the LCM of 45 and 60?. The LCM of 45 and 60 is 180 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    454545
    45462070
    45472115
    4548720
    45492205
    4550450
    4551765
    45522340
    45532385
    4554270
    4555495
    45562520
    4557855
    45582610
    45592655
    4560180
    45612745
    45622790
    4563315
    45642880
    4565585
    4566990
    45673015
    45683060
    45691035
    4570630
    45713195
    4572360
    45733285
    45743330

    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 45 and 60? (The answer is: 180). Select the first number (e.g. '45') 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 45 and 60?

    LCM of 45 and 60 is 180

    How to find the LCM of 45 and 60 using prime factorization?

    To find the LCM of 45 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

    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 45 and 60: LCM = 180, GCF = 15.

    See Also