LCM for 80 and 300

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's 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 nubmers and pick the first which matching:

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

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 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

LCM Table

Number 1Number 2LCM
653003900
663003300
6730020100
683005100
693006900
703002100
7130021300
723001800
7330021900
7430011100
75300300
763005700
7730023100
783003900
7930023700
80300
813008100
8230012300
8330024900
843002100
853005100
8630012900
873008700
883006600
8930026700
90300900
9130027300
923006900
933009300
9430014100

FAQ

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

LCM of 80 and 300 is 1,200