LCM for 8 and 25

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What's the Least Common Multiple (LCM) of 8 and 25?

Answer

LCM of 8 and 25 is
200

First common multiples: 200, 400, 600, …

200 is divisible by both: 200 ÷ 8 = 25, 200 ÷ 25 = 8 — and 25 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 25 and of y/25 by 8.

8 and 25 are coprime (GCF = 1), so their LCM is simply the product: 8 × 25 = 200.

8 = 23

25 = 52

Prime825Highest power
223—23
5—5252

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

LCM = 23 × 52 = 200

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LCM Table

Number 1Number 2LCM
8624
8972
81040
81188
81224
813104
81456
815120
81616
817136
81872
82040
821168
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184

FAQ

What's the Least Common Multiple (LCM) of 8 and 25?

LCM of 8 and 25 is 200

How to find the LCM of 8 and 25 using prime factorization?

To find the LCM of 8 and 25, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 200.

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 25: LCM = 200, GCF = 1.

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