LCM for 9 and 36

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What's the Least Common Multiple (LCM) of 9 and 36?

Answer

LCM of 9 and 36 is
36

First common multiples: 36, 72, 108, …

As a common denominator: multiply the top and bottom of x/9 by 4.

9 divides 36 (36 ÷ 9 = 4), so the LCM is the larger number itself.

9 = 32

36 = 22 × 32

Prime936Highest power
2—2222
3323232

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

LCM = 22 × 32 = 36

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LCM Table

Number 1Number 2LCM
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
957171
959531

FAQ

What's the Least Common Multiple (LCM) of 9 and 36?

LCM of 9 and 36 is 36

How to find the LCM of 9 and 36 using prime factorization?

To find the LCM of 9 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 36.

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 36: LCM = 36, GCF = 9.

See Also