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LCM for 10 and 1000

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 1000?

Answer

LCM of 10 and 1000 is 1,000

(Thousand)

Finding LCM for 10 and 1000 using GCF of these numbers

The first method to find LCM for numbers 10 and 1000 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 1000 is 10, so

LCM = (10 × 1000) ÷ 10

LCM = 10000 ÷ 10

LCM = 1000

Finding LCM for 10 and 1000 by Listing Multiples

The second method to find LCM for numbers 10 and 1000 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000, 1010, 1020

Multiples of 1000: 1000, 2000, 3000

So the LCM for 10 and 1000 is 1000

Finding LCM for 10 and 1000 by Prime Factorization

Another method to find LCM for numbers 10 and 1000 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 1000: 2, 2, 2, 5, 5, 5 (exponent form: 23, 53)

23 × 53 = 1000

Related Calculations

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What is the LCM of 10 and 1000?. Find the LCM of 10 and 1000 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
110001000
210001000
310003000
410001000
510001000
610003000
710007000
810001000
910009000
1010001000
11100011000
1210003000
13100013000
1410007000
1510003000
1610002000
17100017000
1810009000
19100019000
2010001000
21100021000
22100011000
23100023000
2410003000
2510001000
26100013000
27100027000
2810007000
29100029000
3010003000

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 10 and 1000? (The answer is: 1000). Select the first number (e.g. '10') and the second number (e.g. '1000'). 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 10 and 1000?

LCM of 10 and 1000 is 1,000

How to find the LCM of 10 and 1000 using prime factorization?

To find the LCM of 10 and 1000, 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 10 and 1000: LCM = 1,000, GCF = 10.

See Also