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LCM for 100 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 270?

Answer

LCM of 100 and 270 is 2,700

(Two thousand, seven hundred)

Finding LCM for 100 and 270 using GCF of these numbers

The first method to find LCM for numbers 100 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 270 is 10, so

LCM = (100 × 270) ÷ 10

LCM = 27000 ÷ 10

LCM = 2700

Finding LCM for 100 and 270 by Listing Multiples

The second method to find LCM for numbers 100 and 270 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900

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

So the LCM for 100 and 270 is 2700

Finding LCM for 100 and 270 by Prime Factorization

Another method to find LCM for numbers 100 and 270 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

22 × 52 × 33 = 2700

Related Calculations

See Also

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What is the LCM of 100 and 270?. Find the LCM of 100 and 270 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
852704590
8627011610
872707830
8827011880
8927024030
90270270
9127024570
9227012420
932708370
9427012690
952705130
962704320
9727026190
9827013230
992702970
1002702700
10127027270
1022704590
10327027810
10427014040
1052701890
10627014310
10727028890
108270540
10927029430
1102702970
1112709990
11227015120
11327030510
1142705130

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 100 and 270? (The answer is: 2700). Select the first number (e.g. '100') and the second number (e.g. '270'). 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 100 and 270?

LCM of 100 and 270 is 2,700

How to find the LCM of 100 and 270 using prime factorization?

To find the LCM of 100 and 270, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,700.

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 100 and 270: LCM = 2,700, GCF = 10.

See Also