LCM for 30 and 100

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 100?

Answer

LCM of 30 and 100 is 300

(Three hundred)

Finding LCM for 30 and 100 using GCF of these numbers

The first method to find LCM for numbers 30 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 100 is 10, so

LCM = (30 × 100) ÷ 10

LCM = 3000 ÷ 10

LCM = 300

Finding LCM for 30 and 100 by Listing Multiples

The second method to find LCM for numbers 30 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360

Multiples of 100: 100, 200, 300, 400, 500

So the LCM for 30 and 100 is 300

Finding LCM for 30 and 100 by Prime Factorization

Another method to find LCM for numbers 30 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

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

22 × 31 × 52 = 300

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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 30 and 100? (The answer is: 300). Select the first number (e.g. '30') and the second number (e.g. '100'). 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
15100300
16100400
171001700
18100900
191001900
20100100
211002100
221001100
231002300
24100600
25100100
261001300
271002700
28100700
291002900
30100300
311003100
32100800
331003300
341001700
35100700
36100900
371003700
381001900
391003900
40100200
411004100
421002100
431004300
441001100

FAQ

What's the Least Common Multiple (LCM) of 30 and 100?

LCM of 30 and 100 is 300

How to find the LCM of 30 and 100 using prime factorization?

To find the LCM of 30 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 30 and 100: LCM = 300, GCF = 10.

See Also