LCM for 200 and 250

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer: LCM of 200 and 250 is 1,000

(Thousand)

Finding LCM for 200 and 250 using GCF's of these numbers

The first method to find LCM for numbers 200 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 200 and 250 is 50, so

LCM = (200 × 250) ÷ 50

LCM = 50000 ÷ 50

LCM = 1000

Finding LCM for 200 and 250 by Listing Multiples

The second method to find LCM for numbers 200 and 250 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 200: 200, 400, 600, 800, 1000, 1200, 1400

Multiples of 250: 250, 500, 750, 1000, 1250, 1500

So the LCM for 200 and 250 is 1000

Finding LCM for 200 and 250 by Prime Factorization

Another method to find LCM for numbers 200 and 250 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

All Prime Factors of 250: 2, 5, 5, 5 (exponent form: 21, 53)

23 × 53 = 1000

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LCM Table

Number 1Number 2LCM
1852509250
18625023250
18725046750
18825023500
18925047250
1902504750
19125047750
19225024000
19325048250
19425024250
1952509750
19625024500
19725049250
19825024750
19925049750
2002501000
20125050250
20225025250
20325050750
20425025500
20525010250
20625025750
20725051750
20825026000
20925052250
2102505250
21125052750
21225026500
21325053250
21425026750

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 200 and 250? (The answer is: 1000). Select the first number (e.g. '200') and the second number (e.g. '250'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

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

LCM of 200 and 250 is 1,000

See Also