LCM for 200 and 250

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What's the Least Common Multiple (LCM) of 200 and 250?

Answer

LCM of 200 and 250 is
1,000

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

1,000 is divisible by both: 1,000 ÷ 200 = 5; 1,000 ÷ 250 = 4 — and 5 and 4 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/250 by 4.

200 = 23 × 52

250 = 2 × 53

Prime200250Highest power
223223
5525353

LCM = 23 × 53 = 1,000

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LCM Table

Number 1Number 2LCM
2002359,400
20023611,800
20023747,400
20023823,800
20023947,800
2002401,200
20024148,200
20024224,200
20024348,600
20024412,200
2002459,800
20024624,600
20024749,400
2002486,200
20024949,800
2002501,000
20025150,200
20025212,600
20025350,600
20025425,400
20025510,200
2002566,400
20025751,400
20025825,800
20025951,800
2002602,600
20026152,200
20026226,200
20026352,600
2002646,600

FAQ

What's the Least Common Multiple (LCM) of 200 and 250?

LCM of 200 and 250 is 1,000

How to find the LCM of 200 and 250 using prime factorization?

To find the LCM of 200 and 250, 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 250: LCM = 1,000, GCF = 50.

See Also