LCM for 100 and 1,000

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What's the Least Common Multiple (LCM) of 100 and 1,000?

Answer

LCM of 100 and 1,000 is
1,000

(One thousand)

Finding LCM for 100 and 1,000 using GCF of these numbers

The first method to find LCM for numbers 100 and 1,000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 1,000 is 100, so

LCM = (100 × 1,000) ÷ 100

LCM = 100,000 ÷ 100

LCM = 1,000

Finding LCM for 100 and 1,000 by Listing Multiples

The second method to find LCM for numbers 100 and 1,000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200

Multiples of 1,000: 1000, 2000, 3000

So the LCM for 100 and 1,000 is 1,000

Finding LCM for 100 and 1,000 by Prime Factorization

Another method to find LCM for numbers 100 and 1,000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

23 × 53 = 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 100 and 1,000? (The answer is: 1,000). Select the first number (e.g. '100') 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
100225900
1002302,300
1002354,700
1002401,200
100250500
1002555,100
1002601,300
1002702,700
1002751,100
1002855,700
1002902,900
1003201,600
1003251,300
1003303,300
1003401,700
1003601,800
1003657,300
1003751,500
1003857,700
100400400
1004058,100
1004158,300
1004458,900
100450900
1004659,300
1004704,700
1004859,700
1004904,900
100500500
1001,0001,000

FAQ

What's the Least Common Multiple (LCM) of 100 and 1,000?

LCM of 100 and 1,000 is 1,000

How to find the LCM of 100 and 1,000 using prime factorization?

To find the LCM of 100 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 100 and 1,000: LCM = 1,000, GCF = 100.

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