What is the LCM of 70 and 105?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 70 and 105?

Answer: LCM of 70 and 105 is 210

(Two hundred ten)

Finding LCM for 70 and 105 using GCF's of these numbers

The first method to find LCM for numbers 70 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 105 is 35, so

LCM = (70 × 105) ÷ 35

LCM = 7350 ÷ 35

LCM = 210

Finding LCM for 70 and 105 by Listing Multiples

The second method to find LCM for numbers 70 and 105 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 70: 70, 140, 210, 280, 350

Multiples of 105: 105, 210, 315, 420

So the LCM for 70 and 105 is 210

Finding LCM for 70 and 105 by Prime Factorization

Another method to find LCM for numbers 70 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 2¹, 5¹, 7¹)

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

2¹ × 5¹ × 7¹ × 3¹ = 210

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What is the GCF of 70 and 105

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 70 and 105? (The answer is: 210). Select the first number (e.g. '70') 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
55	105	1155
56	105	840
57	105	1995
58	105	6090
59	105	6195
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

LCM for 70 and 105

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 70 and 105?

Finding LCM for 70 and 105 using GCF's of these numbers

Finding LCM for 70 and 105 by Listing Multiples

Finding LCM for 70 and 105 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 70 and 105?

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