LCM for 200 and 500

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What's the Least Common Multiple (LCM) of 200 and 500?

Answer

LCM of 200 and 500 is
1,000

First common multiples: 1,000; 2,000; 3,000; …

1,000 is divisible by both: 1,000 ÷ 200 = 5; 1,000 ÷ 500 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/200 by 5 and of y/500 by 2.

200 = 23 × 52

500 = 22 × 53

Prime200500Highest power
2232223
5525353

LCM = 23 × 53 = 1,000

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LCM Table

Number 1Number 2LCM
20048519,400
20048648,600
20048797,400
20048812,200
20048997,800
2004909,800
20049198,200
20049224,600
20049398,600
20049449,400
20049519,800
20049612,400
20049799,400
20049849,800
20049999,800
2005001,000
200501100,200
20050250,200
200503100,600
20050412,600
20050520,200
20050650,600
200507101,400
20050825,400
200509101,800
20051010,200
200511102,200
20051212,800
200513102,600
20051451,400

FAQ

What's the Least Common Multiple (LCM) of 200 and 500?

LCM of 200 and 500 is 1,000

How to find the LCM of 200 and 500 using prime factorization?

To find the LCM of 200 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

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 200 and 500: LCM = 1,000, GCF = 100.

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