LCM for 75 and 105

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 75 and 105?

Answer

LCM of 75 and 105 is 525

(Five hundred twenty-five)

Finding LCM for 75 and 105 using GCF of these numbers

The first method to find LCM for numbers 75 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 75 and 105 is 15, so

LCM = (75 × 105) ÷ 15

LCM = 7875 ÷ 15

LCM = 525

Finding LCM for 75 and 105 by Listing Multiples

The second method to find LCM for numbers 75 and 105 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675

Multiples of 105: 105, 210, 315, 420, 525, 630, 735

So the LCM for 75 and 105 is 525

Finding LCM for 75 and 105 by Prime Factorization

Another method to find LCM for numbers 75 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)

31 × 52 × 71 = 525

See Also

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 75 and 105? (The answer is: 525). Select the first number (e.g. '75') and the second number (e.g. '105'). 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
60 105 420
61 105 6405
62 105 6510
63 105 315
64 105 6720
65 105 1365
66 105 2310
67 105 7035
68 105 7140
69 105 2415
70 105 210
71 105 7455
72 105 2520
73 105 7665
74 105 7770
75 105 525
76 105 7980
77 105 1155
78 105 2730
79 105 8295
80 105 1680
81 105 2835
82 105 8610
83 105 8715
84 105 420
85 105 1785
86 105 9030
87 105 3045
88 105 9240
89 105 9345

FAQ

What's the Least Common Multiple (LCM) of 75 and 105?
LCM of 75 and 105 is 525

How to find the LCM of 75 and 105 using prime factorization?
To find the LCM of 75 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 525.

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 75 and 105: LCM = 525, GCF = 15.

See Also