LCM for 80 and 270

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What's the Least Common Multiple (LCM) of 80 and 270?

Answer

LCM of 80 and 270 is
2,160

(Two thousand one hundred sixty)

Finding LCM for 80 and 270 using GCF of these numbers

The first method to find LCM for numbers 80 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 270 is 10, so

LCM = (80 × 270) ÷ 10

LCM = 21,600 ÷ 10

LCM = 2,160

Finding LCM for 80 and 270 by Listing Multiples

The second method to find LCM for numbers 80 and 270 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, 1,040, 1,120, 1,200, 1,280, 1,360, 1,440, 1,520, 1,600, 1,680, 1,760, 1,840, 1,920, 2,000, 2,080, 2,160, 2,240, 2,320

Multiples of 270: 270, 540, 810, 1,080, 1,350, 1,620, 1,890, 2,160, 2,430, 2,700

So the LCM for 80 and 270 is 2,160

Finding LCM for 80 and 270 by Prime Factorization

Another method to find LCM for numbers 80 and 270 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 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

24 × 51 × 33 = 2,160

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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 80 and 270? (The answer is: 2,160). Select the first number (e.g. '80') and the second number (e.g. '270'). 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
801501,200
801552,480
80160160
801652,640
801752,800
80180720
801852,960
80200400
802053,280
802101,680
802153,440
802301,840
80240240
802453,920
802554,080
802702,160
802754,400
802854,560
802902,320
803001,200
803255,200
803502,800
803555,680
803956,320
804056,480
804156,640
804201,680
804356,960
80440880
804457,120

FAQ

What's the Least Common Multiple (LCM) of 80 and 270?

LCM of 80 and 270 is 2,160

How to find the LCM of 80 and 270 using prime factorization?

To find the LCM of 80 and 270, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,160.

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 270: LCM = 2,160, GCF = 10.

See Also