LCM for 9 and 33

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What's the Least Common Multiple (LCM) of 9 and 33?

Answer

LCM of 9 and 33 is
99

First common multiples: 99, 198, 297, …

99 is divisible by both: 99 ÷ 9 = 11, 99 ÷ 33 = 3 — and 11 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/9 by 11 and of y/33 by 3.

9 = 32

33 = 3 × 11

Prime933Highest power
332332
11—1111

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

LCM = 32 × 11 = 99

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LCM Table

Number 1Number 2LCM
914126
91545
916144
917153
91818
920180
92163
922198
92472
925225
92727
928252
929261
93090
932288
93399
935315
93636
938342
939117
940360
941369
943387
944396
94545
946414
948144
950450
951153
952468

FAQ

What's the Least Common Multiple (LCM) of 9 and 33?

LCM of 9 and 33 is 99

How to find the LCM of 9 and 33 using prime factorization?

To find the LCM of 9 and 33, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 99.

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 9 and 33: LCM = 99, GCF = 3.

See Also