LCM for 20 and 355
What's the Least Common Multiple (LCM) of 20 and 355?
Answer
(One thousand, four hundred twenty)
Finding LCM for 20 and 355 using GCF of these numbers
The first method to find LCM for numbers 20 and 355 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 355 is 5, so
LCM = (20 × 355) ÷ 5
LCM = 7100 ÷ 5
LCM = 1420
Finding LCM for 20 and 355 by Listing Multiples
The second method to find LCM for numbers 20 and 355 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
Multiples of 355: 355, 710, 1065, 1420, 1775, 2130
So the LCM for 20 and 355 is 1420
Finding LCM for 20 and 355 by Prime Factorization
Another method to find LCM for numbers 20 and 355 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 355: 5, 71 (exponent form: 51, 711)
22 × 51 × 711 = 1420
Related Calculations
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--355">What is the LCM of 20 and 355? - 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