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    LCM for 75 and 90

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 75 and 90?

    Answer

    LCM of 75 and 90 is
    450

    First common multiples: 450; 900; 1,350; …

    450 is divisible by both: 450 ÷ 75 = 6, 450 ÷ 90 = 5 — and 6 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 6 and of y/90 by 5.

    75 = 3 × 52

    90 = 2 × 32 × 5

    Prime7590Highest power
    2—22
    333232
    552552

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

    LCM = 2 × 32 × 52 = 450

    More with these numbers

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    What is the LCM of 75 and 90? The LCM of 75 and 90 is 450 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    757575
    75765,700
    75775,775
    75781,950
    75795,925
    75801,200
    75812,025
    75826,150
    75836,225
    75842,100
    75851,275
    75866,450
    75872,175
    75886,600
    75896,675
    7590450
    75916,825
    75926,900
    75932,325
    75947,050
    75951,425
    75962,400
    75977,275
    75987,350
    75992,475
    75100300
    751017,575
    751022,550
    751037,725
    751047,800

    FAQ

    What's the Least Common Multiple (LCM) of 75 and 90?

    LCM of 75 and 90 is 450

    How to find the LCM of 75 and 90 using prime factorization?

    To find the LCM of 75 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

    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 75 and 90: LCM = 450, GCF = 15.

    See Also