LCM for 125 and 1,000

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What's the Least Common Multiple (LCM) of 125 and 1,000?

Answer

LCM of 125 and 1,000 is
1,000

(One thousand)

Finding LCM for 125 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 125 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 125 and 1,000 is 125, so

LCM = (125 × 1,000) ÷ 125

LCM = 125,000 ÷ 125

LCM = 1,000

Finding LCM for 125 and 1,000 by Listing Multiples

The second method to find LCM for numbers 125 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 125: 125, 250, 375, 500, 625, 750, 875, 1,000, 1,125, 1,250

Multiples of 1,000: 1,000, 2,000, 3,000

So the LCM for 125 and 1,000 is 1,000

Finding LCM for 125 and 1,000 by Prime Factorization

Another method to find LCM for numbers 125 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

53 × 23 = 1,000

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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 125 and 1,000? (The answer is: 1,000). Select the first number (e.g. '125') and the second number (e.g. '1,000'). 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
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LCM Table

Number 1Number 2LCM
12598524,625
125986123,250
125987123,375
125988123,500
125989123,625
12599024,750
125991123,875
125992124,000
125993124,125
125994124,250
12599524,875
125996124,500
125997124,625
125998124,750
125999124,875
1251,0001,000
1251,001125,125
1251,002125,250
1251,003125,375
1251,004125,500
1251,00525,125
1251,006125,750
1251,007125,875
1251,008126,000
1251,009126,125
1251,01025,250
1251,011126,375
1251,012126,500
1251,013126,625
1251,014126,750

FAQ

What's the Least Common Multiple (LCM) of 125 and 1,000?

LCM of 125 and 1,000 is 1,000

How to find the LCM of 125 and 1,000 using prime factorization?

To find the LCM of 125 and 1,000, 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 125 and 1,000: LCM = 1,000, GCF = 125.

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