LCM for 80 and 84

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What's the Least Common Multiple (LCM) of 80 and 84?

Answer

LCM of 80 and 84 is
1,680

(One thousand six hundred eighty)

Finding LCM for 80 and 84 using GCF of these numbers

The first method to find LCM for numbers 80 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 84 is 4, so

LCM = (80 × 84) ÷ 4

LCM = 6,720 ÷ 4

LCM = 1,680

Finding LCM for 80 and 84 by Listing Multiples

The second method to find LCM for numbers 80 and 84 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

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260, 1,344, 1,428, 1,512, 1,596, 1,680, 1,764, 1,848

So the LCM for 80 and 84 is 1,680

Finding LCM for 80 and 84 by Prime Factorization

Another method to find LCM for numbers 80 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

24 × 51 × 31 × 71 = 1,680

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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 84? (The answer is: 1,680). Select the first number (e.g. '80') and the second number (e.g. '84'). 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
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LCM Table

Number 1Number 2LCM
802080
80841,680
8090720
8096480
80112560
801151,840
80120240
801252,000
801301,040
80144720
801452,320
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

FAQ

What's the Least Common Multiple (LCM) of 80 and 84?

LCM of 80 and 84 is 1,680

How to find the LCM of 80 and 84 using prime factorization?

To find the LCM of 80 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,680.

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 84: LCM = 1,680, GCF = 4.

See Also