LCM for 43 and 60
What's the Least Common Multiple (LCM) of 43 and 60?
Answer
(Two thousand five hundred eighty)
Finding LCM for 43 and 60 using GCF of these numbers
The first method to find LCM for numbers 43 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 43 and 60 is 1, so
LCM = (43 × 60) ÷ 1
LCM = 2,580 ÷ 1
LCM = 2,580
Finding LCM for 43 and 60 by Listing Multiples
The second method to find LCM for numbers 43 and 60 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 43: 43, 86, 129, 172, 215, 258, 301, 344, 387, 430, 473, 516, 559, 602, 645, 688, 731, 774, 817, 860, 903, 946, 989, 1,032, 1,075, 1,118, 1,161, 1,204, 1,247, 1,290, 1,333, 1,376, 1,419, 1,462, 1,505, 1,548, 1,591, 1,634, 1,677, 1,720, 1,763, 1,806, 1,849, 1,892, 1,935, 1,978, 2,021, 2,064, 2,107, 2,150, 2,193, 2,236, 2,279, 2,322, 2,365, 2,408, 2,451, 2,494, 2,537, 2,580, 2,623, 2,666
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320, 1,380, 1,440, 1,500, 1,560, 1,620, 1,680, 1,740, 1,800, 1,860, 1,920, 1,980, 2,040, 2,100, 2,160, 2,220, 2,280, 2,340, 2,400, 2,460, 2,520, 2,580, 2,640, 2,700
So the LCM for 43 and 60 is 2,580
Finding LCM for 43 and 60 by Prime Factorization
Another method to find LCM for numbers 43 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 43: 43 (exponent form: 431)
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
431 × 22 × 31 × 51 = 2,580
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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 43 and 60?
How to find the LCM of 43 and 60 using prime factorization?
What is the difference between LCM and GCF?
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