LCM for 270 and 300

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 270 and 300?

Answer: LCM of 270 and 300 is 2,700

(Two thousand, seven hundred)

Finding LCM for 270 and 300 using GCF's of these numbers

The first method to find LCM for numbers 270 and 300 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 270 and 300 is 30, so

LCM = (270 × 300) ÷ 30

LCM = 81000 ÷ 30

LCM = 2700

Finding LCM for 270 and 300 by Listing Multiples

The second method to find LCM for numbers 270 and 300 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 270: 270, 540, 810, 1080, 1350, 1620, 1890, 2160, 2430, 2700, 2970, 3240

Multiples of 300: 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300

So the LCM for 270 and 300 is 2700

Finding LCM for 270 and 300 by Prime Factorization

Another method to find LCM for numbers 270 and 300 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

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

22 × 33 × 52 = 2700

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LCM Table

Number 1Number 2LCM
2553005100
25630019200
25730077100
25830012900
25930077700
2603003900
26130026100
26230039300
26330078900
2643006600
26530015900
26630039900
26730026700
26830020100
26930080700
2703002700
27130081300
27230020400
27330027300
27430041100
2753003300
2763006900
27730083100
27830041700
27930027900
2803004200
28130084300
28230014100
28330084900
28430021300

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 270 and 300? (The answer is: 2700). Select the first number (e.g. '270') 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

FAQ

What's the Least Common Multiple (LCM) of 270 and 300?

LCM of 270 and 300 is 2,700