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    LCM for 21 and 49

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 21 and 49?

    Answer

    LCM of 21 and 49 is
    147

    (One hundred forty-seven)

    Finding LCM for 21 and 49 using GCF of these numbers

    The first method to find LCM for numbers 21 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 21 and 49 is 7, so

    LCM = (21 × 49) ÷ 7

    LCM = 1029 ÷ 7

    LCM = 147

    Finding LCM for 21 and 49 by Listing Multiples

    The second method to find LCM for numbers 21 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189

    Multiples of 49: 49, 98, 147, 196, 245

    So the LCM for 21 and 49 is 147

    Finding LCM for 21 and 49 by Prime Factorization

    Another method to find LCM for numbers 21 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

    All Prime Factors of 49: 7, 7 (exponent form: 72)

    31 × 72 = 147

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    What is the LCM of 21 and 49?. The LCM of 21 and 49 is 147 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2122462
    2123483
    2124168
    2125525
    2126546
    212884
    2129609
    2130210
    2132672
    2133231
    2134714
    2135105
    2136252
    2139273
    2141861
    214242
    2143903
    2144924
    2145315
    2147987
    2148336
    2149147
    2151357
    21521092
    21531113
    21551155
    2156168
    21581218
    21591239
    2160420

    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 21 and 49? (The answer is: 147). Select the first number (e.g. '21') and the second number (e.g. '49'). 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 21 and 49?

    LCM of 21 and 49 is 147

    How to find the LCM of 21 and 49 using prime factorization?

    To find the LCM of 21 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 147.

    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 21 and 49: LCM = 147, GCF = 7.

    See Also