LCM for 1125 and 1500

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's 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 nubmers and pick the first which matching:

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

See Also

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

LCM Table

Number 1Number 2LCM
1110150055500
111115001666500
11121500417000
11131500556500
11141500835500
11151500334500
11161500139500
111715001675500
11181500838500
11191500559500
1120150084000
112115001681500
11221500280500
112315001684500
11241500421500
11251500
11261500844500
112715001690500
11281500141000
112915001693500
11301500169500
11311500565500
11321500424500
113315001699500
11341500283500
11351500340500
11361500426000
11371500568500
11381500853500
113915001708500

FAQ

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

LCM of 1125 and 1500 is 4,500