LCM for 20 and 475
What's the Least Common Multiple (LCM) of 20 and 475?
Answer
(One thousand nine hundred)
Finding LCM for 20 and 475 using GCF of these numbers
The first method to find LCM for numbers 20 and 475 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 475 is 5, so
LCM = (20 × 475) ÷ 5
LCM = 9,500 ÷ 5
LCM = 1,900
Finding LCM for 20 and 475 by Listing Multiples
The second method to find LCM for numbers 20 and 475 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, 1920, 1940
Multiples of 475: 475, 950, 1425, 1900, 2375, 2850
So the LCM for 20 and 475 is 1,900
Finding LCM for 20 and 475 by Prime Factorization
Another method to find LCM for numbers 20 and 475 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 475: 5, 5, 19 (exponent form: 52, 191)
22 × 52 × 191 = 1,900
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers

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