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    LCM for 85 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 85 and 120?

    Answer

    LCM of 85 and 120 is
    2,040

    (Two thousand forty)

    Finding LCM for 85 and 120 using GCF of these numbers

    The first method to find LCM for numbers 85 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 85 and 120 is 5, so

    LCM = (85 × 120) ÷ 5

    LCM = 10,200 ÷ 5

    LCM = 2,040

    Finding LCM for 85 and 120 by Listing Multiples

    The second method to find LCM for numbers 85 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1,020, 1,105, 1,190, 1,275, 1,360, 1,445, 1,530, 1,615, 1,700, 1,785, 1,870, 1,955, 2,040, 2,125, 2,210

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080, 1,200, 1,320, 1,440, 1,560, 1,680, 1,800, 1,920, 2,040, 2,160, 2,280

    So the LCM for 85 and 120 is 2,040

    Finding LCM for 85 and 120 by Prime Factorization

    Another method to find LCM for numbers 85 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 85: 5, 17 (exponent form: 51, 171)

    All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    51 × 171 × 23 × 31 = 2,040

    Related Calculations

    See Also

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    What is the LCM of 85 and 120?. The LCM of 85 and 120 is 2,040 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    851051,785
    851069,010
    851079,095
    851089,180
    851099,265
    851101,870
    851119,435
    851129,520
    851139,605
    851149,690
    851151,955
    851169,860
    851179,945
    8511810,030
    85119595
    851202,040
    8512110,285
    8512210,370
    8512310,455
    8512410,540
    851252,125
    8512610,710
    8512710,795
    8512810,880
    8512910,965
    851302,210
    8513111,135
    8513211,220
    8513311,305
    8513411,390

    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 85 and 120? (The answer is: 2,040). Select the first number (e.g. '85') and the second number (e.g. '120'). 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 85 and 120?

    LCM of 85 and 120 is 2,040

    How to find the LCM of 85 and 120 using prime factorization?

    To find the LCM of 85 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,040.

    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 85 and 120: LCM = 2,040, GCF = 5.

    See Also