LCM for 105 and 462

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 105 and 462?

Answer

LCM of 105 and 462 is 2,310

(Two thousand, three hundred ten)

Finding LCM for 105 and 462 using GCF of these numbers

The first method to find LCM for numbers 105 and 462 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 462 is 21, so

LCM = (105 × 462) ÷ 21

LCM = 48510 ÷ 21

LCM = 2310

Finding LCM for 105 and 462 by Listing Multiples

The second method to find LCM for numbers 105 and 462 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310, 2415, 2520

Multiples of 462: 462, 924, 1386, 1848, 2310, 2772, 3234

So the LCM for 105 and 462 is 2310

Finding LCM for 105 and 462 by Prime Factorization

Another method to find LCM for numbers 105 and 462 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 462: 2, 3, 7, 11 (exponent form: 21, 31, 71, 111)

31 × 51 × 71 × 21 × 111 = 2310

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 105 and 462? (The answer is: 2310). Select the first number (e.g. '105') and the second number (e.g. '462'). 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 1Number 2LCM
10544715645
1054486720
10544947145
1054503150
10545147355
10545247460
10545315855
10545447670
1054551365
10545615960
10545747985
10545848090
10545916065
1054609660
10546148405
1054622310
10546348615
10546448720
1054653255
10546648930
10546749035
10546816380
1054697035
1054709870
10547116485
10547249560
10547349665
10547416590
1054759975
1054767140

FAQ

What's the Least Common Multiple (LCM) of 105 and 462?

LCM of 105 and 462 is 2,310

How to find the LCM of 105 and 462 using prime factorization?

To find the LCM of 105 and 462, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,310.

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 105 and 462: LCM = 2,310, GCF = 21.

See Also