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    LCM for 20 and 210

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 20 and 210?

    Answer

    LCM of 20 and 210 is
    420

    (Four hundred twenty)

    Finding LCM for 20 and 210 using GCF of these numbers

    The first method to find LCM for numbers 20 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 20 and 210 is 10, so

    LCM = (20 × 210) ÷ 10

    LCM = 4200 ÷ 10

    LCM = 420

    Finding LCM for 20 and 210 by Listing Multiples

    The second method to find LCM for numbers 20 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

    Multiples of 210: 210, 420, 630, 840

    So the LCM for 20 and 210 is 420

    Finding LCM for 20 and 210 by Prime Factorization

    Another method to find LCM for numbers 20 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

    All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

    22 × 51 × 31 × 71 = 420

    Related Calculations

    See Also

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    What is the LCM of 20 and 210?. The LCM of 20 and 210 is 420 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    20531060
    2054540
    2055220
    2058580
    206060
    20100100
    20125500
    20135540
    20145580
    20150300
    20160160
    20165660
    20170340
    20175700
    20190380
    20210420
    20220220
    20225900
    20230460
    202551020
    202751100
    202851140
    20290580
    202951180
    203051220
    203251300
    203351340
    203551420
    20400400
    20410820

    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 20 and 210? (The answer is: 420). Select the first number (e.g. '20') and the second number (e.g. '210'). 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 20 and 210?

    LCM of 20 and 210 is 420

    How to find the LCM of 20 and 210 using prime factorization?

    To find the LCM of 20 and 210, 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 20 and 210: LCM = 420, GCF = 10.

    See Also