LCM for 20 and 210

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 210?

Answer

LCM of 20 and 210 is 420

(Four hundred twenty)

Finding LCM for 20 and 210 using GCF of these numbers

The first method to find LCM for numbers 20 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 210 is 10, so

LCM = (20 × 210) ÷ 10

LCM = 4200 ÷ 10

LCM = 420

Finding LCM for 20 and 210 by Listing Multiples

The second method to find LCM for numbers 20 and 210 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

Multiples of 210: 210, 420, 630, 840

So the LCM for 20 and 210 is 420

Finding LCM for 20 and 210 by Prime Factorization

Another method to find LCM for numbers 20 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

22 × 51 × 31 × 71 = 420

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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 20 and 210? (The answer is: 420). Select the first number (e.g. '20') and the second number (e.g. '210'). 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
5210210
6210210
7210210
8210840
9210630
10210210
112102310
12210420
132102730
14210210
15210210
162101680
172103570
18210630
192103990
20210420
21210210
222102310
232104830
24210840
252101050
262102730
272101890
28210420
292106090
30210210
312106510
322103360
332102310
342103570

FAQ

What's the Least Common Multiple (LCM) of 20 and 210?

LCM of 20 and 210 is 420

How to find the LCM of 20 and 210 using prime factorization?

To find the LCM of 20 and 210, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 20 and 210: LCM = 420, GCF = 10.

See Also