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    LCM for 72 and 27

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 72 and 27?

    Answer

    LCM of 72 and 27 is
    216

    (Two hundred sixteen)

    Finding LCM for 72 and 27 using GCF of these numbers

    The first method to find LCM for numbers 72 and 27 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 72 and 27 is 9, so

    LCM = (72 × 27) ÷ 9

    LCM = 1944 ÷ 9

    LCM = 216

    Finding LCM for 72 and 27 by Listing Multiples

    The second method to find LCM for numbers 72 and 27 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 72: 72, 144, 216, 288, 360

    Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270

    So the LCM for 72 and 27 is 216

    Finding LCM for 72 and 27 by Prime Factorization

    Another method to find LCM for numbers 72 and 27 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

    All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

    23 × 33 = 216

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    What is the LCM of 72 and 27?. The LCM of 72 and 27 is 216 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    721272
    7213936
    7214504
    7215360
    7216144
    72171224
    721872
    72191368
    7220360
    7221504
    7222792
    72231656
    722472
    72251800
    7226936
    7227216
    7228504
    72292088
    7230360
    72312232
    7232288
    7233792
    72341224
    72352520
    723672
    72372664
    72381368
    7239936
    7240360
    72412952

    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 72 and 27? (The answer is: 216). Select the first number (e.g. '72') and the second number (e.g. '27'). 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 72 and 27?

    LCM of 72 and 27 is 216

    How to find the LCM of 72 and 27 using prime factorization?

    To find the LCM of 72 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 216.

    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 72 and 27: LCM = 216, GCF = 9.

    See Also