LCM for 20 and 325
What's the Least Common Multiple (LCM) of 20 and 325?
Answer
(One thousand, three hundred)
Finding LCM for 20 and 325 using GCF of these numbers
The first method to find LCM for numbers 20 and 325 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 325 is 5, so
LCM = (20 × 325) ÷ 5
LCM = 6500 ÷ 5
LCM = 1300
Finding LCM for 20 and 325 by Listing Multiples
The second method to find LCM for numbers 20 and 325 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
Multiples of 325: 325, 650, 975, 1300, 1625, 1950
So the LCM for 20 and 325 is 1300
Finding LCM for 20 and 325 by Prime Factorization
Another method to find LCM for numbers 20 and 325 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 325: 5, 5, 13 (exponent form: 52, 131)
22 × 52 × 131 = 1300
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--325">What is the LCM of 20 and 325? - 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