LCM for 20 and 445
What's the Least Common Multiple (LCM) of 20 and 445?
Answer
(One thousand, seven hundred eighty)
Finding LCM for 20 and 445 using GCF of these numbers
The first method to find LCM for numbers 20 and 445 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 445 is 5, so
LCM = (20 × 445) ÷ 5
LCM = 8900 ÷ 5
LCM = 1780
Finding LCM for 20 and 445 by Listing Multiples
The second method to find LCM for numbers 20 and 445 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
Multiples of 445: 445, 890, 1335, 1780, 2225, 2670
So the LCM for 20 and 445 is 1780
Finding LCM for 20 and 445 by Prime Factorization
Another method to find LCM for numbers 20 and 445 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 445: 5, 89 (exponent form: 51, 891)
22 × 51 × 891 = 1780
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/20--445">What is the LCM of 20 and 445? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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