LCM for 25 and 200

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What's the Least Common Multiple (LCM) of 25 and 200?

Answer

LCM of 25 and 200 is
200

First common multiples: 200, 400, 600, …

As a common denominator: multiply the top and bottom of x/25 by 8.

25 divides 200 (200 ÷ 25 = 8), so the LCM is the larger number itself.

25 = 52

200 = 23 × 52

Prime25200Highest power
2—2323
5525252

— = 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
2535175
2536900
2537925
2538950
2540200
25411,025
25421,050
2545225
25461,150
25481,200
25491,225
255050
25531,325
2555275
2560300
25641,600
2565325
2570350
257575
2580400
25812,025
2590450
25100100
25105525
251213,025
25125125
251443,600
25150150
25175175
25200200

FAQ

What's the Least Common Multiple (LCM) of 25 and 200?

LCM of 25 and 200 is 200

How to find the LCM of 25 and 200 using prime factorization?

To find the LCM of 25 and 200, 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 25 and 200: LCM = 200, GCF = 25.

See Also