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    LCM for 70 and 84

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 70 and 84?

    Answer

    LCM of 70 and 84 is
    420

    (Four hundred twenty)

    Finding LCM for 70 and 84 using GCF of these numbers

    The first method to find LCM for numbers 70 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 70 and 84 is 14, so

    LCM = (70 × 84) ÷ 14

    LCM = 5,880 ÷ 14

    LCM = 420

    Finding LCM for 70 and 84 by Listing Multiples

    The second method to find LCM for numbers 70 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560

    Multiples of 84: 84, 168, 252, 336, 420, 504, 588

    So the LCM for 70 and 84 is 420

    Finding LCM for 70 and 84 by Prime Factorization

    Another method to find LCM for numbers 70 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

    All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

    22 × 51 × 71 × 31 = 420

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    What is the LCM of 70 and 84?. The LCM of 70 and 84 is 420 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    7021210
    7080560
    7084420
    70105210
    70110770
    701151,610
    70130910
    701351,890
    701452,030
    701601,120
    701801,260
    701852,590
    701952,730
    702001,400
    702052,870
    70210210
    702153,010
    702301,610
    702401,680
    70245490
    702653,710
    702701,890
    702753,850
    702902,030
    702954,130
    703002,100
    703054,270
    703102,170
    703202,240
    703302,310

    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 70 and 84? (The answer is: 420). Select the first number (e.g. '70') and the second number (e.g. '84'). 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 70 and 84?

    LCM of 70 and 84 is 420

    How to find the LCM of 70 and 84 using prime factorization?

    To find the LCM of 70 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

    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 70 and 84: LCM = 420, GCF = 14.

    See Also