LCM for 105 and 189

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 105 and 189?

Answer

LCM of 105 and 189 is
945

(Nine hundred forty-five)

Finding LCM for 105 and 189 using GCF of these numbers

The first method to find LCM for numbers 105 and 189 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 105 and 189 is 21, so

LCM = (105 × 189) ÷ 21

LCM = 19,845 ÷ 21

LCM = 945

Finding LCM for 105 and 189 by Listing Multiples

The second method to find LCM for numbers 105 and 189 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

Multiples of 189: 189, 378, 567, 756, 945, 1,134, 1,323

So the LCM for 105 and 189 is 945

Finding LCM for 105 and 189 by Prime Factorization

Another method to find LCM for numbers 105 and 189 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 189: 3, 3, 3, 7 (exponent form: 33, 71)

33 × 51 × 71 = 945

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 189? (The answer is: 945). Select the first number (e.g. '105') and the second number (e.g. '189'). 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
1051746,090
105175525
10517618,480
1051776,195
10517818,690
10517918,795
1051801,260
10518119,005
1051822,730
1051836,405
10518419,320
1051853,885
1051866,510
10518719,635
10518819,740
105189945
1051903,990
10519120,055
1051926,720
10519320,265
10519420,370
1051951,365
1051962,940
10519720,685
1051986,930
10519920,895
1052004,200
1052017,035
10520221,210
1052033,045

FAQ

What's the Least Common Multiple (LCM) of 105 and 189?

LCM of 105 and 189 is 945

How to find the LCM of 105 and 189 using prime factorization?

To find the LCM of 105 and 189, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 945.

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 189: LCM = 945, GCF = 21.

See Also