LCM for 58 and 60

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What's the Least Common Multiple (LCM) of 58 and 60?

Answer

LCM of 58 and 60 is
1,740

(One thousand seven hundred forty)

Finding LCM for 58 and 60 using GCF of these numbers

The first method to find LCM for numbers 58 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 58 and 60 is 2, so

LCM = (58 × 60) ÷ 2

LCM = 3,480 ÷ 2

LCM = 1,740

Finding LCM for 58 and 60 by Listing Multiples

The second method to find LCM for numbers 58 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1,044, 1,102, 1,160, 1,218, 1,276, 1,334, 1,392, 1,450, 1,508, 1,566, 1,624, 1,682, 1,740, 1,798, 1,856

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

So the LCM for 58 and 60 is 1,740

Finding LCM for 58 and 60 by Prime Factorization

Another method to find LCM for numbers 58 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

22 × 291 × 31 × 51 = 1,740

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 58 and 60? (The answer is: 1,740). Select the first number (e.g. '58') and the second number (e.g. '60'). After that hit the 'Calculate' button.
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
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LCM Table

Number 1Number 2LCM
58452,610
58461,334
58472,726
58481,392
58492,842
58501,450
58512,958
58521,508
58533,074
58541,566
58553,190
58561,624
58573,306
585858
58593,422
58601,740
58613,538
58621,798
58633,654
58641,856
58653,770
58661,914
58673,886
58681,972
58694,002
58702,030
58714,118
58722,088
58734,234
58742,146

FAQ

What's the Least Common Multiple (LCM) of 58 and 60?

LCM of 58 and 60 is 1,740

How to find the LCM of 58 and 60 using prime factorization?

To find the LCM of 58 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,740.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 58 and 60: LCM = 1,740, GCF = 2.

See Also