LCM for 20 and 295

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 295?

Answer

LCM of 20 and 295 is 1,180

(One thousand, one hundred eighty)

Finding LCM for 20 and 295 using GCF of these numbers

The first method to find LCM for numbers 20 and 295 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 295 is 5, so

LCM = (20 × 295) ÷ 5

LCM = 5900 ÷ 5

LCM = 1180

Finding LCM for 20 and 295 by Listing Multiples

The second method to find LCM for numbers 20 and 295 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, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220

Multiples of 295: 295, 590, 885, 1180, 1475, 1770

So the LCM for 20 and 295 is 1180

Finding LCM for 20 and 295 by Prime Factorization

Another method to find LCM for numbers 20 and 295 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 295: 5, 59 (exponent form: 51, 591)

22 × 51 × 591 = 1180

Related Calculations

See Also

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 295? (The answer is: 1180). Select the first number (e.g. '20') and the second number (e.g. '295'). 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
5295295
62951770
72952065
82952360
92952655
10295590
112953245
122953540
132953835
142954130
15295885
162954720
172955015
182955310
192955605
202951180
212956195
222956490
232956785
242957080
252951475
262957670
272957965
282958260
292958555
302951770
312959145
322959440
332959735
3429510030

FAQ

What's the Least Common Multiple (LCM) of 20 and 295?

LCM of 20 and 295 is 1,180

How to find the LCM of 20 and 295 using prime factorization?

To find the LCM of 20 and 295, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,180.

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 295: LCM = 1,180, GCF = 5.

See Also