LCM for 105 and 126

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 105 and 126?

Answer

LCM of 105 and 126 is
630

(Six hundred thirty)

Finding LCM for 105 and 126 using GCF of these numbers

The first method to find LCM for numbers 105 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 126 is 21, so

LCM = (105 × 126) ÷ 21

LCM = 13,230 ÷ 21

LCM = 630

Finding LCM for 105 and 126 by Listing Multiples

The second method to find LCM for numbers 105 and 126 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

Multiples of 126: 126, 252, 378, 504, 630, 756, 882

So the LCM for 105 and 126 is 630

Finding LCM for 105 and 126 by Prime Factorization

Another method to find LCM for numbers 105 and 126 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 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

32 × 51 × 71 × 21 = 630

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 126? (The answer is: 630). Select the first number (e.g. '105') and the second number (e.g. '126'). 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
1051113,885
1051121,680
10511311,865
1051143,990
1051152,415
10511612,180
1051174,095
10511812,390
1051191,785
105120840
10512112,705
10512212,810
1051234,305
10512413,020
1051252,625
105126630
10512713,335
10512813,440
1051294,515
1051302,730
10513113,755
1051324,620
1051331,995
10513414,070
105135945
10513614,280
10513714,385
1051384,830
10513914,595
105140420

FAQ

What's the Least Common Multiple (LCM) of 105 and 126?

LCM of 105 and 126 is 630

How to find the LCM of 105 and 126 using prime factorization?

To find the LCM of 105 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 630.

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 126: LCM = 630, GCF = 21.

See Also