LCM for 15 and 100

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 15 and 100?

Answer

LCM of 15 and 100 is
300

(Three hundred)

Finding LCM for 15 and 100 using GCF of these numbers

The first method to find LCM for numbers 15 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 100 is 5, so

LCM = (15 × 100) ÷ 5

LCM = 1,500 ÷ 5

LCM = 300

Finding LCM for 15 and 100 by Listing Multiples

The second method to find LCM for numbers 15 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330

Multiples of 100: 100, 200, 300, 400, 500

So the LCM for 15 and 100 is 300

Finding LCM for 15 and 100 by Prime Factorization

Another method to find LCM for numbers 15 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

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

31 × 52 × 22 = 300

Related Calculations

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 15 and 100? (The answer is: 300). Select the first number (e.g. '15') and the second number (e.g. '100'). 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
152575
1526390
1527135
1528420
153030
1531465
1533165
1534510
1535105
1536180
1537555
1539195
1540120
1543645
154545
1546690
1547705
1550150
1551255
1552780
1554270
1556840
1558870
1559885
156060
1564960
157575
15771,155
15100300
15125375

FAQ

What's the Least Common Multiple (LCM) of 15 and 100?

LCM of 15 and 100 is 300

How to find the LCM of 15 and 100 using prime factorization?

To find the LCM of 15 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

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 15 and 100: LCM = 300, GCF = 5.

See Also