LCM for 80 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 21600 ÷ 10

LCM = 2160

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, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320

Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700

So the LCM for 80 and 270 is 2160

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 = 2160

See Also

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: 2160). 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

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
652703510
662702970
6727018090
682709180
692706210
702701890
7127019170
722701080
7327019710
742709990
752701350
7627010260
7727020790
782703510
7927021330
802702160
81270810
8227011070
8327022410
842703780
852704590
8627011610
872707830
8827011880
8927024030
90270270
9127024570
9227012420
932708370
9427012690

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