LCM for 80 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 80 and 300?

Answer

LCM of 80 and 300 is 1,200

(One thousand, two hundred)

Finding LCM for 80 and 300 using GCF of these numbers

The first method to find LCM for numbers 80 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 300 is 20, so

LCM = (80 × 300) ÷ 20

LCM = 24000 ÷ 20

LCM = 1200

Finding LCM for 80 and 300 by Listing Multiples

The second method to find LCM for numbers 80 and 300 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

Multiples of 300: 300, 600, 900, 1200, 1500, 1800

So the LCM for 80 and 300 is 1200

Finding LCM for 80 and 300 by Prime Factorization

Another method to find LCM for numbers 80 and 300 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 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

24 × 52 × 31 = 1200

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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 300? (The answer is: 1200). Select the first number (e.g. '80') and the second number (e.g. '300'). 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
80160160
801652640
801752800
80180720
801852960
80200400
802053280
802101680
802153440
802301840
80240240
802453920
802554080
802702160
802754400
802854560
802902320
803001200
803255200
803502800
803555680
804056480
804156640
804201680
804356960
80440880
804457120
804903920
804957920
805002000

FAQ

What's the Least Common Multiple (LCM) of 80 and 300?

LCM of 80 and 300 is 1,200

How to find the LCM of 80 and 300 using prime factorization?

To find the LCM of 80 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 300: LCM = 1,200, GCF = 20.

See Also