LCM for 20 and 305
What's the Least Common Multiple (LCM) of 20 and 305?
Answer
(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 = 6100 ÷ 5
LCM = 1220
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, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220, 1240, 1260
Multiples of 305: 305, 610, 915, 1220, 1525, 1830
So the LCM for 20 and 305 is 1220
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 = 1220
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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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