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    LCM for 90 and 130

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 90 and 130?

    Answer

    LCM of 90 and 130 is
    1,170

    First common multiples: 1,170; 2,340; 3,510; …

    1,170 is divisible by both: 1,170 ÷ 90 = 13; 1,170 ÷ 130 = 9 — and 13 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 13 and of y/130 by 9.

    90 = 2 × 32 × 5

    130 = 2 × 5 × 13

    Prime90130Highest power
    2222
    332—32
    5555
    13—1313

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 2 × 32 × 5 × 13 = 1,170

    More with these numbers

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    What is the LCM of 90 and 130? The LCM of 90 and 130 is 1,170 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    90100900
    90120360
    901301,170
    90135270
    901401,260
    901452,610
    90150450
    90165990
    901901,710
    902001,800
    902053,690
    90210630
    902153,870
    902302,070
    902354,230
    902502,250
    902551,530
    902602,340
    90270270
    902754,950
    902802,520
    902851,710
    902902,610
    903055,490
    90315630
    903452,070
    90360360
    903856,930
    90405810
    904257,650

    FAQ

    What's the Least Common Multiple (LCM) of 90 and 130?

    LCM of 90 and 130 is 1,170

    How to find the LCM of 90 and 130 using prime factorization?

    To find the LCM of 90 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,170.

    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 90 and 130: LCM = 1,170, GCF = 10.

    See Also