What is the LCM of 80 and 105?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 80 and 105?

Answer: LCM of 80 and 105 is 1,680

(One thousand, six hundred eighty)

Finding LCM for 80 and 105 using GCF's of these numbers

The first method to find LCM for numbers 80 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 80 and 105 is 5, so

LCM = (80 × 105) ÷ 5

LCM = 8400 ÷ 5

LCM = 1680

Finding LCM for 80 and 105 by Listing Multiples

The second method to find LCM for numbers 80 and 105 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890

So the LCM for 80 and 105 is 1680

Finding LCM for 80 and 105 by Prime Factorization

Another method to find LCM for numbers 80 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 2⁴, 5¹)

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

2⁴ × 5¹ × 3¹ × 7¹ = 1680

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 80 and 105? (The answer is: 1680). Select the first number (e.g. '80') 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

LCM Table

Number 1	Number 2	LCM
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
90	105	630
91	105	1365
92	105	9660
93	105	3255
94	105	9870

LCM for 80 and 105

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 80 and 105?

Finding LCM for 80 and 105 using GCF's of these numbers

Finding LCM for 80 and 105 by Listing Multiples

Finding LCM for 80 and 105 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 80 and 105?

See Also