LCM for 20 and 465

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 465?

Answer

LCM of 20 and 465 is 1,860

(One thousand, eight hundred sixty)

Finding LCM for 20 and 465 using GCF of these numbers

The first method to find LCM for numbers 20 and 465 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 465 is 5, so

LCM = (20 × 465) ÷ 5

LCM = 9300 ÷ 5

LCM = 1860

Finding LCM for 20 and 465 by Listing Multiples

The second method to find LCM for numbers 20 and 465 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, 1240, 1260, 1280, 1300, 1320, 1340, 1360, 1380, 1400, 1420, 1440, 1460, 1480, 1500, 1520, 1540, 1560, 1580, 1600, 1620, 1640, 1660, 1680, 1700, 1720, 1740, 1760, 1780, 1800, 1820, 1840, 1860, 1880, 1900

Multiples of 465: 465, 930, 1395, 1860, 2325, 2790

So the LCM for 20 and 465 is 1860

Finding LCM for 20 and 465 by Prime Factorization

Another method to find LCM for numbers 20 and 465 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 465: 3, 5, 31 (exponent form: 31, 51, 311)

22 × 51 × 31 × 311 = 1860

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 465? (The answer is: 1860). Select the first number (e.g. '20') and the second number (e.g. '465'). 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
5465465
6465930
74653255
84653720
94651395
10465930
114655115
124651860
134656045
144656510
15465465
164657440
174657905
184652790
194658835
204651860
214653255
2246510230
2346510695
244653720
254652325
2646512090
274654185
2846513020
2946513485
30465930
31465465
3246514880
334655115
3446515810

FAQ

What's the Least Common Multiple (LCM) of 20 and 465?

LCM of 20 and 465 is 1,860

How to find the LCM of 20 and 465 using prime factorization?

To find the LCM of 20 and 465, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,860.

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 465: LCM = 1,860, GCF = 5.

See Also