LCM for 20 and 53
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 20 and 53?
Answer
(One thousand, sixty)
Finding LCM for 20 and 53 using GCF of these numbers
The first method to find LCM for numbers 20 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 20 and 53 is 1, so
LCM = (20 × 53) ÷ 1
LCM = 1060 ÷ 1
LCM = 1060
Finding LCM for 20 and 53 by Listing Multiples
The second method to find LCM for numbers 20 and 53 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
Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166
So the LCM for 20 and 53 is 1060
Finding LCM for 20 and 53 by Prime Factorization
Another method to find LCM for numbers 20 and 53 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 53: 53 (exponent form: 531)
22 × 51 × 531 = 1060
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 20 and 53?
How to find the LCM of 20 and 53 using prime factorization?
What is the difference between LCM and GCF?
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