LCM for 20 and 305

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What's the Least Common Multiple (LCM) of 20 and 305?

Answer

LCM of 20 and 305 is
1,220

(One thousand two hundred twenty)

Finding LCM for 20 and 305 using GCF of these numbers

The first method to find LCM for numbers 20 and 305 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 305 is 5, so

LCM = (20 × 305) ÷ 5

LCM = 6,100 ÷ 5

LCM = 1,220

Finding LCM for 20 and 305 by Listing Multiples

The second method to find LCM for numbers 20 and 305 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, 1,000, 1,020, 1,040, 1,060, 1,080, 1,100, 1,120, 1,140, 1,160, 1,180, 1,200, 1,220, 1,240, 1,260

Multiples of 305: 305, 610, 915, 1,220, 1,525, 1,830

So the LCM for 20 and 305 is 1,220

Finding LCM for 20 and 305 by Prime Factorization

Another method to find LCM for numbers 20 and 305 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 305: 5, 61 (exponent form: 51, 611)

22 × 51 × 611 = 1,220

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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 305? (The answer is: 1,220). Select the first number (e.g. '20') and the second number (e.g. '305'). 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
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LCM Table

Number 1Number 2LCM
20150300
20160160
20165660
20170340
20175700
20190380
20210420
20220220
20225900
20230460
202551,020
202751,100
202851,140
20290580
202951,180
203051,220
203251,300
203351,340
203551,420
20400400
20410820
204151,660
20430860
204351,740
20440440
204451,780
204651,860
20470940
20480480
20490980

FAQ

What's the Least Common Multiple (LCM) of 20 and 305?

LCM of 20 and 305 is 1,220

How to find the LCM of 20 and 305 using prime factorization?

To find the LCM of 20 and 305, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,220.

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 305: LCM = 1,220, GCF = 5.

See Also