LCM for 100 and 105

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 105?

Answer

LCM of 100 and 105 is 2,100

(Two thousand, one hundred)

Finding LCM for 100 and 105 using GCF of these numbers

The first method to find LCM for numbers 100 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 105 is 5, so

LCM = (100 × 105) ÷ 5

LCM = 10500 ÷ 5

LCM = 2100

Finding LCM for 100 and 105 by Listing Multiples

The second method to find LCM for numbers 100 and 105 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300

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

So the LCM for 100 and 105 is 2100

Finding LCM for 100 and 105 by Prime Factorization

Another method to find LCM for numbers 100 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

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

22 × 52 × 31 × 71 = 2100

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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 100 and 105? (The answer is: 2100). Select the first number (e.g. '100') and the second number (e.g. '105'). 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
851051785
861059030
871053045
881059240
891059345
90105630
911051365
921059660
931053255
941059870
951051995
961053360
9710510185
981051470
991053465
1001052100
10110510605
1021053570
10310510815
10410510920
105105105
10610511130
10710511235
1081053780
10910511445
1101052310
1111053885
1121051680
11310511865
1141053990

FAQ

What's the Least Common Multiple (LCM) of 100 and 105?

LCM of 100 and 105 is 2,100

How to find the LCM of 100 and 105 using prime factorization?

To find the LCM of 100 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 100 and 105: LCM = 2,100, GCF = 5.

See Also