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    LCM for 210 and 252

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 210 and 252?

    Answer

    LCM of 210 and 252 is
    1,260

    (One thousand two hundred sixty)

    Finding LCM for 210 and 252 using GCF of these numbers

    The first method to find LCM for numbers 210 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 210 and 252 is 42, so

    LCM = (210 × 252) ÷ 42

    LCM = 52,920 ÷ 42

    LCM = 1,260

    Finding LCM for 210 and 252 by Listing Multiples

    The second method to find LCM for numbers 210 and 252 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470, 1680

    Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764

    So the LCM for 210 and 252 is 1,260

    Finding LCM for 210 and 252 by Prime Factorization

    Another method to find LCM for numbers 210 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)

    22 × 32 × 51 × 71 = 1,260

    Related Calculations

    See Also

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    What is the LCM of 210 and 252?. The LCM of 210 and 252 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    21023716,590
    2102383,570
    21023950,190
    2102401,680
    21024150,610
    21024225,410
    21024317,010
    21024425,620
    2102451,470
    2102468,610
    21024751,870
    21024826,040
    21024917,430
    2102505,250
    21025152,710
    2102521,260
    21025353,130
    21025426,670
    2102553,570
    21025626,880
    21025753,970
    2102589,030
    2102597,770
    2102605,460
    21026118,270
    21026227,510
    21026355,230
    2102649,240
    21026511,130
    2102663,990

    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 210 and 252? (The answer is: 1,260). Select the first number (e.g. '210') and the second number (e.g. '252'). 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 210 and 252?

    LCM of 210 and 252 is 1,260

    How to find the LCM of 210 and 252 using prime factorization?

    To find the LCM of 210 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 210 and 252: LCM = 1,260, GCF = 42.

    See Also