LCM for 8 and 33

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 8 and 33?

Answer

LCM of 8 and 33 is
264

First common multiples: 264, 528, 792, …

264 is divisible by both: 264 ÷ 8 = 33, 264 ÷ 33 = 8 — and 33 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 33 and of y/33 by 8.

8 and 33 are coprime (GCF = 1), so their LCM is simply the product: 8 × 33 = 264.

8 = 23

33 = 3 × 11

Prime833Highest power
223—23
3—33
11—1111

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

LCM = 23 × 3 × 11 = 264

More with these numbers

Related Calculations

See Also

LCM Table

Number 1Number 2LCM
81456
815120
81616
817136
81872
82040
821168
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
855440
857456

FAQ

What's the Least Common Multiple (LCM) of 8 and 33?

LCM of 8 and 33 is 264

How to find the LCM of 8 and 33 using prime factorization?

To find the LCM of 8 and 33, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 264.

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 8 and 33: LCM = 264, GCF = 1.

See Also