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LCM for 80 and 250

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 80 and 250?

Answer

LCM of 80 and 250 is 2,000

(Two thousand)

Finding LCM for 80 and 250 using GCF of these numbers

The first method to find LCM for numbers 80 and 250 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 250 is 10, so

LCM = (80 × 250) ÷ 10

LCM = 20000 ÷ 10

LCM = 2000

Finding LCM for 80 and 250 by Listing Multiples

The second method to find LCM for numbers 80 and 250 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160

Multiples of 250: 250, 500, 750, 1000, 1250, 1500, 1750, 2000, 2250, 2500

So the LCM for 80 and 250 is 2000

Finding LCM for 80 and 250 by Prime Factorization

Another method to find LCM for numbers 80 and 250 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)

All Prime Factors of 250: 2, 5, 5, 5 (exponent form: 21, 53)

24 × 53 = 2000

Related Calculations

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What is the LCM of 80 and 250?. Find the LCM of 80 and 250 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
652503250
662508250
6725016750
682508500
6925017250
702501750
7125017750
722509000
7325018250
742509250
75250750
762509500
7725019250
782509750
7925019750
802502000
8125020250
8225010250
8325020750
8425010500
852504250
8625010750
8725021750
8825011000
8925022250
902502250
9125022750
9225011500
9325023250
9425011750

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 80 and 250? (The answer is: 2000). Select the first number (e.g. '80') and the second number (e.g. '250'). 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 80 and 250?

LCM of 80 and 250 is 2,000

How to find the LCM of 80 and 250 using prime factorization?

To find the LCM of 80 and 250, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,000.

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 80 and 250: LCM = 2,000, GCF = 10.

See Also