LCM for 20 and 335
What's the Least Common Multiple (LCM) of 20 and 335?
Answer
(One thousand, three hundred forty)
Finding LCM for 20 and 335 using GCF of these numbers
The first method to find LCM for numbers 20 and 335 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 335 is 5, so
LCM = (20 × 335) ÷ 5
LCM = 6700 ÷ 5
LCM = 1340
Finding LCM for 20 and 335 by Listing Multiples
The second method to find LCM for numbers 20 and 335 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
Multiples of 335: 335, 670, 1005, 1340, 1675, 2010
So the LCM for 20 and 335 is 1340
Finding LCM for 20 and 335 by Prime Factorization
Another method to find LCM for numbers 20 and 335 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 335: 5, 67 (exponent form: 51, 671)
22 × 51 × 671 = 1340
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--335">What is the LCM of 20 and 335? - Calculatio</a>
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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