LCM for 50 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 60?

Answer

LCM of 50 and 60 is 300

(Three hundred)

Finding LCM for 50 and 60 using GCF of these numbers

The first method to find LCM for numbers 50 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 60 is 10, so

LCM = (50 × 60) ÷ 10

LCM = 3000 ÷ 10

LCM = 300

Finding LCM for 50 and 60 by Listing Multiples

The second method to find LCM for numbers 50 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400

Multiples of 60: 60, 120, 180, 240, 300, 360, 420

So the LCM for 50 and 60 is 300

Finding LCM for 50 and 60 by Prime Factorization

Another method to find LCM for numbers 50 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

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

22 × 52 × 31 = 300

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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 50 and 60? (The answer is: 300). Select the first number (e.g. '50') 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

Least Common Multiple of

and

LCM Table

Number 1 Number 2 LCM
35 60 420
36 60 180
37 60 2220
38 60 1140
39 60 780
40 60 120
41 60 2460
42 60 420
43 60 2580
44 60 660
45 60 180
46 60 1380
47 60 2820
48 60 240
49 60 2940
50 60 300
51 60 1020
52 60 780
53 60 3180
54 60 540
55 60 660
56 60 840
57 60 1140
58 60 1740
59 60 3540
60 60 60
61 60 3660
62 60 1860
63 60 1260
64 60 960

FAQ

What's the Least Common Multiple (LCM) of 50 and 60?
LCM of 50 and 60 is 300

How to find the LCM of 50 and 60 using prime factorization?
To find the LCM of 50 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 50 and 60: LCM = 300, GCF = 10.

See Also