LCM for 1,125 and 1,500

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What's the Least Common Multiple (LCM) of 1,125 and 1,500?

Answer

LCM of 1,125 and 1,500 is
4,500

(Four thousand five hundred)

Finding LCM for 1,125 and 1,500 using GCF of these numbers

The first method to find LCM for numbers 1,125 and 1,500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 1,125 and 1,500 is 375, so

LCM = (1,125 × 1,500) ÷ 375

LCM = 1,687,500 ÷ 375

LCM = 4,500

Finding LCM for 1,125 and 1,500 by Listing Multiples

The second method to find LCM for numbers 1,125 and 1,500 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 1,125: 1,125, 2,250, 3,375, 4,500, 5,625, 6,750

Multiples of 1,500: 1,500, 3,000, 4,500, 6,000, 7,500

So the LCM for 1,125 and 1,500 is 4,500

Finding LCM for 1,125 and 1,500 by Prime Factorization

Another method to find LCM for numbers 1,125 and 1,500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 1,125: 3, 3, 5, 5, 5 (exponent form: 32, 53)

All Prime Factors of 1,500: 2, 2, 3, 5, 5, 5 (exponent form: 22, 31, 53)

32 × 53 × 22 = 4,500

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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 1,125 and 1,500? (The answer is: 4,500). Select the first number (e.g. '1,125') and the second number (e.g. '1,500'). 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
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LCM Table

Number 1Number 2LCM
1,1251,48537,125
1,1251,4861,671,750
1,1251,4871,672,875
1,1251,488558,000
1,1251,4891,675,125
1,1251,490335,250
1,1251,491559,125
1,1251,4921,678,500
1,1251,4931,679,625
1,1251,494186,750
1,1251,495336,375
1,1251,4961,683,000
1,1251,497561,375
1,1251,4981,685,250
1,1251,4991,686,375
1,1251,5004,500
1,1251,5011,688,625
1,1251,5021,689,750
1,1251,503187,875
1,1251,5041,692,000
1,1251,505338,625
1,1251,506564,750
1,1251,5071,695,375
1,1251,5081,696,500
1,1251,509565,875
1,1251,510339,750
1,1251,5111,699,875
1,1251,512189,000
1,1251,5131,702,125
1,1251,5141,703,250

FAQ

What's the Least Common Multiple (LCM) of 1,125 and 1,500?

LCM of 1,125 and 1,500 is 4,500

How to find the LCM of 1,125 and 1,500 using prime factorization?

To find the LCM of 1,125 and 1,500, 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 1,125 and 1,500: LCM = 4,500, GCF = 375.

See Also