LCM for 57 and 60

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What's the Least Common Multiple (LCM) of 57 and 60?

Answer

LCM of 57 and 60 is
1,140

(One thousand one hundred forty)

Finding LCM for 57 and 60 using GCF of these numbers

The first method to find LCM for numbers 57 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 57 and 60 is 3, so

LCM = (57 × 60) ÷ 3

LCM = 3,420 ÷ 3

LCM = 1,140

Finding LCM for 57 and 60 by Listing Multiples

The second method to find LCM for numbers 57 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260

So the LCM for 57 and 60 is 1,140

Finding LCM for 57 and 60 by Prime Factorization

Another method to find LCM for numbers 57 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 57: 3, 19 (exponent form: 31, 191)

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

31 × 191 × 22 × 51 = 1,140

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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 57 and 60? (The answer is: 1,140). Select the first number (e.g. '57') 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
5745855
57462,622
57472,679
5748912
57492,793
57502,850
5751969
57522,964
57533,021
57541,026
57553,135
57563,192
575757
57583,306
57593,363
57601,140
57613,477
57623,534
57631,197
57643,648
57653,705
57661,254
57673,819
57683,876
57691,311
57703,990
57714,047
57721,368
57734,161
57744,218

FAQ

What's the Least Common Multiple (LCM) of 57 and 60?

LCM of 57 and 60 is 1,140

How to find the LCM of 57 and 60 using prime factorization?

To find the LCM of 57 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

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 57 and 60: LCM = 1,140, GCF = 3.

See Also