LCM for 300 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 300 and 360?

Answer: LCM of 300 and 360 is 1,800

(One thousand, eight hundred)

Finding LCM for 300 and 360 using GCF's of these numbers

The first method to find LCM for numbers 300 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 300 and 360 is 60, so

LCM = (300 × 360) ÷ 60

LCM = 108000 ÷ 60

LCM = 1800

Finding LCM for 300 and 360 by Listing Multiples

The second method to find LCM for numbers 300 and 360 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100, 2400

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520

So the LCM for 300 and 360 is 1800

Finding LCM for 300 and 360 by Prime Factorization

Another method to find LCM for numbers 300 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 300: 2, 2, 3, 5, 5 (exponent form: 22, 31, 52)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 52 = 1800

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LCM Table

Number 1Number 2LCM
2853606840
28636051480
287360103320
2883601440
289360104040
29036010440
29136034920
29236026280
293360105480
29436017640
29536021240
29636013320
29736011880
29836053640
299360107640
3003601800
301360108360
30236054360
30336036360
30436013680
30536021960
3063606120
307360110520
30836027720
30936037080
31036011160
311360111960
3123604680
313360112680
31436056520

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 300 and 360? (The answer is: 1800). Select the first number (e.g. '300') and the second number (e.g. '360'). 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

FAQ

What's the Least Common Multiple (LCM) of 300 and 360?

LCM of 300 and 360 is 1,800

See Also