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LCM for 1125 and 1500

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 1125 and 1500?

Answer

LCM of 1125 and 1500 is 4,500

(Four thousand five hundred)

Finding LCM for 1125 and 1500 using GCF of these numbers

The first method to find LCM for numbers 1125 and 1500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 1125 and 1500 is 375, so

LCM = (1125 × 1500) ÷ 375

LCM = 1687500 ÷ 375

LCM = 4500

Finding LCM for 1125 and 1500 by Listing Multiples

The second method to find LCM for numbers 1125 and 1500 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 1125: 1125, 2250, 3375, 4500, 5625, 6750

Multiples of 1500: 1500, 3000, 4500, 6000, 7500

So the LCM for 1125 and 1500 is 4500

Finding LCM for 1125 and 1500 by Prime Factorization

Another method to find LCM for numbers 1125 and 1500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 1125: 3, 3, 5, 5, 5 (exponent form: 32, 53)

All Prime Factors of 1500: 2, 2, 3, 5, 5, 5 (exponent form: 22, 31, 53)

32 × 53 × 22 = 4500

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What is the LCM of 1125 and 1500?. The LCM of 1125 and 1500 is 4500 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
1125148537125
112514861671750
112514871672875
11251488558000
112514891675125
11251490335250
11251491559125
112514921678500
112514931679625
11251494186750
11251495336375
112514961683000
11251497561375
112514981685250
112514991686375
112515004500
112515011688625
112515021689750
11251503187875
112515041692000
11251505338625
11251506564750
112515071695375
112515081696500
11251509565875
11251510339750
112515111699875
11251512189000
112515131702125
112515141703250

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 1125 and 1500? (The answer is: 4500). Select the first number (e.g. '1125') and the second number (e.g. '1500'). 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 1125 and 1500?

LCM of 1125 and 1500 is 4,500

How to find the LCM of 1125 and 1500 using prime factorization?

To find the LCM of 1125 and 1500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,500.

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 1125 and 1500: LCM = 4,500, GCF = 375.

See Also