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
904626930
914626006
9246221252
9346214322
9446221714
9546243890
964627392
9746244814
984623234
994621386
10046223100
10146246662
1024627854
10346247586
10446224024
1054622310
10646224486
10746249434
1084628316
10946250358
1104622310
11146217094
1124623696
11346252206
1144628778
11546253130
11646226796
11746218018
11846227258
1194627854

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