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LCM for 80 and 175

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 80 and 175?

Answer

LCM of 80 and 175 is 2,800

(Two thousand, eight hundred)

Finding LCM for 80 and 175 using GCF of these numbers

The first method to find LCM for numbers 80 and 175 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 175 is 5, so

LCM = (80 × 175) ÷ 5

LCM = 14000 ÷ 5

LCM = 2800

Finding LCM for 80 and 175 by Listing Multiples

The second method to find LCM for numbers 80 and 175 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, 2240, 2320, 2400, 2480, 2560, 2640, 2720, 2800, 2880, 2960

Multiples of 175: 175, 350, 525, 700, 875, 1050, 1225, 1400, 1575, 1750, 1925, 2100, 2275, 2450, 2625, 2800, 2975, 3150

So the LCM for 80 and 175 is 2800

Finding LCM for 80 and 175 by Prime Factorization

Another method to find LCM for numbers 80 and 175 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 175: 5, 5, 7 (exponent form: 52, 71)

24 × 52 × 71 = 2800

Related Calculations

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What is the LCM of 80 and 175?. Find the LCM of 80 and 175 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
651752275
6617511550
6717511725
6817511900
6917512075
70175350
7117512425
7217512600
7317512775
7417512950
75175525
7617513300
771751925
7817513650
7917513825
801752800
8117514175
8217514350
8317514525
841752100
851752975
8617515050
8717515225
8817515400
8917515575
901753150
911752275
9217516100
9317516275
9417516450

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 175? (The answer is: 2800). Select the first number (e.g. '80') and the second number (e.g. '175'). 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 175?

LCM of 80 and 175 is 2,800

How to find the LCM of 80 and 175 using prime factorization?

To find the LCM of 80 and 175, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,800.

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 175: LCM = 2,800, GCF = 5.

See Also