LCM for 105 and 150

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What's the Least Common Multiple (LCM) of 105 and 150?

Answer

LCM of 105 and 150 is
1,050

(One thousand fifty)

Finding LCM for 105 and 150 using GCF of these numbers

The first method to find LCM for numbers 105 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 150 is 15, so

LCM = (105 × 150) ÷ 15

LCM = 15,750 ÷ 15

LCM = 1,050

Finding LCM for 105 and 150 by Listing Multiples

The second method to find LCM for numbers 105 and 150 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, 1,050, 1,155, 1,260

Multiples of 150: 150, 300, 450, 600, 750, 900, 1,050, 1,200, 1,350

So the LCM for 105 and 150 is 1,050

Finding LCM for 105 and 150 by Prime Factorization

Another method to find LCM for numbers 105 and 150 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 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

31 × 52 × 71 × 21 = 1,050

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 150? (The answer is: 1,050). Select the first number (e.g. '105') and the second number (e.g. '150'). 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
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LCM Table

Number 1Number 2LCM
105135945
10513614,280
10513714,385
1051384,830
10513914,595
105140420
1051414,935
10514214,910
10514315,015
1051445,040
1051453,045
10514615,330
105147735
10514815,540
10514915,645
1051501,050
10515115,855
10515215,960
1051535,355
1051542,310
1051553,255
1051565,460
10515716,485
10515816,590
1051595,565
1051603,360
1051612,415
1051625,670
10516317,115
10516417,220

FAQ

What's the Least Common Multiple (LCM) of 105 and 150?

LCM of 105 and 150 is 1,050

How to find the LCM of 105 and 150 using prime factorization?

To find the LCM of 105 and 150, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,050.

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 150: LCM = 1,050, GCF = 15.

See Also